## Liu, Fawang

Compute Distance To:
 Author ID: liu.fawang Published as: Liu, Fawang; Liu, F.; Liu, Fawang W.; Liu, Fa Wang more...less Homepage: https://staff.qut.edu.au/staff/f.liu External Links: MGP · ORCID · Google Scholar · dblp
 Documents Indexed: 253 Publications since 1984 3 Contributions as Editor Co-Authors: 138 Co-Authors with 254 Joint Publications 4,192 Co-Co-Authors
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### Co-Authors

 1 single-authored 113 Turner, Ian William 86 Anh, Vo V. 29 Zhuang, Pinghui 27 Burrage, Kevin 19 Zheng, Liancun 16 Feng, Libo 15 Shen, Shujun 14 Chen, Changming 13 Yu, Qiang 12 Chen, Jinghua 12 Yang, Qianqian 11 Jiang, Xiaoyun 11 Liu, Qingxia 11 Zhang, Hongmei 10 Gu, Yuantong 9 Liu, Lin 8 Chen, Shanzhen 7 Zheng, Minling 6 Chen, Xuehui 6 Pan, Mingyang 6 Zeng, Fanhai 6 Zhao, Yanmin 5 Nie, Yufeng 5 Zhang, Xinxin 4 Chen, Shiping 4 Fan, Wenping 4 Hu, Xiuling 4 Huang, Fenghui 4 Ilić, Miloš 4 Li, Changpin 4 Li, Jing 4 Liu, Chunyan 4 Vegh, Viktor 4 Wang, Fenling 3 Cai, Xin 3 Chen, Ruige 3 Chen, Yanping 3 Fitzsimons, Conor J. 3 Lin, Ran 3 Lu, Shujuan 3 Lu, Xuanzhu 3 Mcelwain, D. L. Sean 3 Meerschaert, Mark Marvin 3 Miller, John James Henry 3 Moroney, Timothy J. 3 Qin, Shanlin 3 Shi, Yanhua 3 Shi, Zhengguang 3 Song, Jiqian 3 Su, Ninghu 3 Tang, Yifa 3 Yang, Weidong 3 Yuan, Zhanbin 3 Zhang, Xinru 2 Fečkan, Michal 2 Hejazi, Hala 2 Jin, Zhengmeng 2 Lai, Junjiang 2 Li, Hong 2 Lin, Ping 2 Lin, Zeng 2 Liu, Quansheng 2 Liu, Yang 2 Liu, Zeting 2 Machado, José António Tenreiro 2 Shen, Ming 2 Shi, Dongyang 2 Wang, Xuebin 2 Wang, Yajun 2 Xu, Tao 2 Yang, Chenhang 2 Yang, Shuiping 2 Zhang, Jinghua 2 Zhang, Mengchen 2 Zhang, Yadong 2 Zheng, Rumeng 2 Zhou, Yong 2 Zhu, Xiaogang 1 Abdullah, Farah Aini 1 Ahn, Vo 1 An, Xingyu 1 Bai, Yu 1 Bajracharya, K. 1 Barry, D. A. 1 Burrage, Pamela M. 1 Chen, Aimin 1 Chen, Chunhua 1 Chen, Goong 1 Chen, Yuli 1 Donskoi, E. M. 1 Du, Yanwei 1 Fan, Yu 1 Gao, Xinghua 1 Hamilton, Nicholas A. 1 Hu, Yizheng 1 Huxley, W. J. 1 Li, Botong 1 Li, Lang 1 Li, Tao 1 Li, Tianzeng ...and 38 more Co-Authors
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### Serials

 34 Computers & Mathematics with Applications 25 Applied Mathematics and Computation 24 Applied Mathematical Modelling 20 Journal of Computational and Applied Mathematics 16 Numerical Algorithms 15 Journal of Xiamen University. Natural Science 15 The ANZIAM Journal 14 Journal of Applied Mathematics and Computing 9 IMA Journal of Applied Mathematics 7 Journal of Computational Physics 7 Fractional Calculus & Applied Analysis 5 Applied Numerical Mathematics 5 Applied Mathematics Letters 5 SIAM Journal on Scientific Computing 5 Communications in Nonlinear Science and Numerical Simulation 4 SIAM Journal on Numerical Analysis 3 Numerical Mathematics 3 Numerical Mathematics 2 Journal of Mathematical Analysis and Applications 2 International Journal for Numerical Methods in Engineering 2 Mathematica Numerica Sinica 2 Applied Mathematics and Mechanics. (English Edition) 2 Annals of Differential Equations 2 Computational Mechanics 2 Nonlinear Dynamics 2 Journal of Fuzhou University. Natural Science Edition 2 Journal of Statistical Mechanics: Theory and Experiment 1 Mathematics of Computation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 Engineering Analysis with Boundary Elements 1 Chinese Quarterly Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 The Korean Journal of Computational & Applied Mathematics 1 Combustion Theory and Modelling 1 CMES. Computer Modeling in Engineering & Sciences 1 International Journal of Numerical Analysis and Modeling 1 International Journal of Biomathematics 1 Pacific Journal of Applied Mathematics 1 Journal of Algorithms & Computational Technology 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Chinese Journal of Engineering Mathematics 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 Annals of Applied Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Fields

 191 Numerical analysis (65-XX) 165 Partial differential equations (35-XX) 73 Real functions (26-XX) 50 Fluid mechanics (76-XX) 23 Integral equations (45-XX) 20 Biology and other natural sciences (92-XX) 14 Ordinary differential equations (34-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Probability theory and stochastic processes (60-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Integral transforms, operational calculus (44-XX) 4 General and overarching topics; collections (00-XX) 4 Optics, electromagnetic theory (78-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

211 Publications have been cited 7,361 times in 2,661 Documents Cited by Year
Numerical solution of the space fractional Fokker-Planck equation. Zbl 1036.82019
Liu, Fawang; Anh, V.; Turner, I.
2004
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives. Zbl 1185.65200
Yang, Q.; Liu, Fawang; Turner, I.
2010
Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. Zbl 1204.26013
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
2009
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Zbl 1193.76093
Liu, Fawang; Zhuang, P.; Anh, V.; Turner, I.; Burrage, K.
2007
New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
2008
A Fourier method for the fractional diffusion equation describing sub-diffusion. Zbl 1165.65053
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.
2007
A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349
Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V.
2014
Numerical methods for solving the multi-term time-fractional wave-diffusion equation. Zbl 1312.65138
Liu, Fawang; Meerschaert, Mark; McGough, Robert; Zhuang, Pinghui; Liu, Qingxia
2013
The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2013
Numerical schemes with high spatial accuracy for a variable-order anomalous subdiffusion equation. Zbl 1217.26011
Chen, Chang-Ming; Liu, F.; Anh, V.; Turner, I.
2010
Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation. Zbl 1171.65101
Lin, R.; Liu, Fawang; Anh, V.; Turner, I.
2009
Finite difference approximations for the fractional Fokker-Planck equation. Zbl 1167.65419
Chen, S.; Liu, Fawang; Zhuang, P.; Anh, V.
2009
Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term. Zbl 1170.65107
Liu, F.; Yang, C.; Burrage, K.
2009
Novel numerical methods for solving the time-space fractional diffusion equation in two dimensions. Zbl 1229.35315
Yang, Qianqian; Turner, Ian; Liu, Fawang; Ilić, Milos
2011
Time fractional advection-dispersion equation. Zbl 1068.26006
Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P.
2003
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2015
Implicit difference approximation for the time fractional diffusion equation. Zbl 1140.65094
Zhuang, P.; Liu, Fawang
2006
Galerkin finite element approximation of symmetric space-fractional partial differential equations. Zbl 1206.65234
Zhang, H.; Liu, F.; Anh, V.
2010
An implicit RBF meshless approach for time fractional diffusion equations. Zbl 1377.76025
Liu, Q.; Gu, Y. T.; Zhuang, P.; Liu, F.; Nie, Y. F.
2011
Numerical methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124
Liu, F.; Zhuang, P.; Burrage, K.
2012
A novel high order space-time spectral method for the time fractional Fokker-Planck equation. Zbl 1320.82052
Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo
2015
Numerical approximation of a fractional-in-space diffusion equation. I. Zbl 1126.26009
Ilic, M.; Liu, Fawang; Turner, I.; Anh, V.
2005
Analytical solution for the time-fractional telegraph equation by the method of separating variables. Zbl 1138.35373
Chen, J.; Liu, Fawang; Anh, V.
2008
Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation. Zbl 1144.65057
Chen, Chang-Ming; Liu, F.; Burrage, K.
2008
A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model. Zbl 1350.65092
Zhang, H.; Liu, F.; Phanikumar, Mantha S.; Meerschaert, Mark M.
2013
Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain. Zbl 1234.35300
Jiang, H.; Liu, F.; Turner, I.; Burrage, K.
2012
Numerical approximation of a fractional-in space diffusion equation. II. With nonhomogeneous boundary conditions. Zbl 1132.35507
Ilic, M.; Liu, F.; Turner, I.; Anh, V.
2006
A new fractional finite volume method for solving the fractional diffusion equation. Zbl 1429.65213
Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V.
2014
Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Zbl 1268.35124
Jiang, H.; Liu, Fawang; Turner, I.; Burrage, K.
2012
Spectral approximations to the fractional integral and derivative. Zbl 1276.26016
Li, Changpin; Zeng, Fanhai; Liu, Fawang
2012
Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089
Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V.
2012
Finite element approximation for a modified anomalous subdiffusion equation. Zbl 1221.65257
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
2011
Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method. Zbl 1112.65006
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
2007
Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation. Zbl 1214.65046
Shen, Shujun; Liu, Fawang; Anh, Vo
2011
The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.
2008
A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain. Zbl 1349.65316
Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K.
2015
The time fractional diffusion equation and the advection-dispersion equation. Zbl 1072.35218
Huang, F.; Liu, Fawang
2005
Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. Zbl 1349.65353
Ye, H.; Liu, Fawang; Anh, V.
2015
An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation. Zbl 1231.65178
Gu, Y. T.; Zhuang, P.; Liu, F.
2010
The fundamental solution of the space-time fractional advection-dispersion equation. Zbl 1086.35003
Huang, F.; Liu, Fawang
2005
Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Zbl 1191.65116
Chen, Chang-Ming; Liu, Fawang; Turner, Ian; Anh, Vo
2010
Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Zbl 1241.65077
Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I.
2012
Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method. Zbl 1242.76262
Zhuang, P.; Gu, Y. T.; Liu, Fawang; Turner, I.; Yarlagadda, P. K. D. V.
2011
Stability and convergence of a finite volume method for the space fractional advection-dispersion equation. Zbl 1291.65280
Hejazi, H.; Moroney, T.; Liu, F.
2014
A RBF meshless approach for modeling a fractal mobile/immobile transport model. Zbl 1354.65204
Liu, Q.; Liu, F.; Turner, I.; Anh, V.; Gu, Y. T.
2014
The analytical solution and numerical solution of the fractional diffusion-wave equation with damping. Zbl 1290.35306
Chen, J.; Liu, Fawang; Anh, V.; Shen, S.; Liu, Q.; Liao, C.
2012
A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain. Zbl 1364.65162
Fan, Wenping; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian
2017
Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains. Zbl 1337.65120
Ye, H.; Liu, Fawang; Anh, V.; Turner, I.
2015
A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation. Zbl 1339.65132
Liu, Q.; Liu, F.; Gu, Y. T.; Zhuang, P.; Chen, Jinghua; Turner, I.
2015
A novel finite volume method for the Riesz space distributed-order diffusion equation. Zbl 1384.65059
Li, J.; Liu, F.; Feng, L.; Turner, I.
2017
Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Zbl 1228.93114
Liu, F.; Burrage, K.
2011
Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations. Zbl 1364.35428
Ye, H.; Liu, Fawang; Anh, V.; Turner, I.
2014
Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. Zbl 1339.65144
Feng, L. B.; Zhuang, P.; Liu, Fawang; Turner, I.
2015
A high-order spectral method for the multi-term time-fractional diffusion equations. Zbl 1459.65205
Zheng, M.; Liu, F.; Anh, V.; Turner, I.
2016
Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations. Zbl 1380.65188
Wang, Xue Bin; Liu, Fawang; Chen, X.
2015
Stability and convergence of an implicit numerical method for the nonlinear fractional reaction-subdiffusion process. Zbl 1187.35271
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
2009
Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Zbl 1334.65143
Zhang, Hongmei; Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.
2014
A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain. Zbl 1380.65260
Fan, Wenping; Liu, Fawang
2018
Numerical simulation for solute transport in fractal porous media. Zbl 1123.76363
Liu, Fawang; Anh, V.; Turner, I.; Zhuang, P.
2004
A novel finite volume method for the Riesz space distributed-order advection-diffusion equation. Zbl 1443.65162
Li, J.; Liu, F.; Feng, L.; Turner, I.
2017
Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes first problem for a heated generalized second grade fluid. Zbl 1228.65207
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.
2011
A Fourier method and an extrapolation technique for Stokes’ first problem for a heated generalized second-grade fluid with fractional derivative. Zbl 1153.76049
Chen, Changming; Liu, Fawang; Anh, V.
2009
Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains. Zbl 1378.35330
Yang, Z.; Yuan, Z.; Nie, Y.; Wang, J.; Zhu, X.; Liu, F.
2017
A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Zbl 1339.65104
Chen, S.; Liu, Fawang; Jiang, X.; Turner, I.; Anh, V.
2015
Finite element method for space-time fractional diffusion equation. Zbl 1343.65122
Feng, L. B.; Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Gu, Yuan Tong
2016
Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation. Zbl 1082.60511
Liu, Fawang; Shen, S.; Anh, V.; Turner, I.
2005
Fractional high order methods for the nonlinear fractional ordinary differential equation. Zbl 1118.65079
Lin, R.; Liu, Fawang
2007
Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. Zbl 1382.65290
Chen, Shiping; Liu, Fawang; Jiang, X.; Turner, Ian; Burrage, Kevin
2016
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334
Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian
2016
A characteristic difference method for the variable-order fractional advection-diffusion equation. Zbl 1296.65114
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J.
2013
A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Zbl 1311.65114
Yu, Q.; Liu, F.; Turner, I.; Burrage, K.
2012
Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term. Zbl 1227.65072
Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I.
2011
An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118
Chen, S.; Liu, Fawang; Turner, I.; Anh, V.
2013
ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation. Zbl 1146.76037
Chen, Shi Ping; Liu, Fawang
2008
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. Zbl 1304.65202
Chen, S.; Jiang, X.; Liu, F.; Turner, I.
2015
Some second-order $$\theta$$ schemes combined with finite element method for nonlinear fractional cable equation. Zbl 1433.65218
Liu, Yang; Du, Yanwei; Li, Hong; Liu, Fawang; Wang, Yajun
2019
Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second-grade fluid with fractional derivatives. Zbl 1153.76010
Chen, Changming; Liu, Fawang; Anh, V.
2008
Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125
Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo
2016
Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation. Zbl 1429.65233
Zhuang, P.; Liu, F.; Turner, I.; Gu, Y. T.
2014
A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1408.65057
Song, J.; Yu, Q.; Liu, F.; Turner, I.
2014
The space-time fractional diffusion equation with Caputo derivatives. Zbl 1085.35003
Huang, F.; Liu, Fawang
2005
Numerical simulation for the 3D seepage flow with fractional derivatives in porous media. Zbl 1169.76427
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
2009
A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations. Zbl 1429.65215
Yang, Qianqian; Turner, Ian; Moroney, Timothy; Liu, Fawang
2014
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Zbl 1412.65159
Zhao, Yanmin; Zhang, Yadong; Liu, F.; Turner, I.; Tang, Yifa; Anh, V.
2017
A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J.
2014
Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1339.65151
Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin
2013
Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1369.35105
Chen, S.; Liu, F.; Burrage, K.
2014
Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid. Zbl 1439.76120
Feng, Libo; Liu, Fawang; Turner, Ian; Zheng, Liancun
2018
Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains. Zbl 1442.65268
Liu, Fawang; Feng, Libo; Anh, Vo; Li, Jing
2019
Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid. Zbl 1398.35277
Ming, Chunying; Liu, Fawang; Zheng, Liancun; Turner, Ian; Anh, Vo
2016
Numerical solution of the time fractional Black-Scholes model governing European options. Zbl 1443.91335
Zhang, H.; Liu, F.; Turner, I.; Yang, Q.
2016
Numerical analysis for a variable-order nonlinear cable equation. Zbl 1243.65103
Chen, Chang-Ming; Liu, F.; Burrage, K.
2011
Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation. Zbl 1278.65121
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.; Chen, Y.
2013
The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option. Zbl 1465.91131
Zhang, H.; Liu, F.; Turner, I.; Chen, S.
2016
Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. Zbl 1464.65119
Feng, Libo; Liu, Fawang; Turner, Ian
2019
Solving linear and nonlinear space-time fractional reaction-diffusion equations by the Adomian decomposition method. Zbl 1159.76367
Yu, Q.; Liu, Fawang; Anh, V.; Turner, I.
2008
A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. Zbl 1412.65072
Feng, L. B.; Zhuang, P.; Liu, F.; Turner, I.; Anh, V.; Li, J.
2017
Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. Zbl 1480.65253
Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui
2018
Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1362.35319
Chen, S.; Liu, F.; Burrage, K.
2014
Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation. Zbl 1125.26014
Zhang, H.; Liu, Fawang; Anh, V.
2007
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. Zbl 07389250
Zhang, Hui; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian
2022
A space-time finite element method for solving linear Riesz space fractional partial differential equations. Zbl 1480.65262
Lai, Junjiang; Liu, Fawang; Anh, Vo V.; Liu, Qingxia
2021
Review of fractional epidemic models. Zbl 1481.92135
Chen, Yuli; Liu, Fawang; Yu, Qiang; Li, Tianzeng
2021
Memory dependent anomalous diffusion in comb structure under distributed order time fractional dual-phase-lag model. Zbl 07439925
Liu, Lin; Yang, Shuo; Feng, Libo; Xu, Qian; Zheng, Liancun; Liu, Fawang
2021
A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions. Zbl 1471.65166
Wang, Ying; Liu, Fawang; Mei, Liquan; Anh, Vo V.
2021
Error analysis of nonlinear time fractional mobile/immobile advection-diffusion equation with weakly singular solutions. Zbl 07337091
Zhang, Hui; Jiang, Xiaoyun; Liu, Fawang
2021
A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients. Zbl 1460.65110
Yang, Shuiping; Liu, Fawang; Feng, Libo; Turner, Ian
2021
An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains. Zbl 07143627
Feng, Libo; Liu, Fawang; Turner, Ian
2020
A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions. Zbl 1437.65154
Zheng, Rumeng; Liu, Fawang; Jiang, Xiaoyun
2020
Boundary layer flows of viscoelastic fluids over a non-uniform permeable surface. Zbl 1437.65104
Li, Botong; Liu, Fawang
2020
A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation. Zbl 1440.65142
Li, Lang; Liu, Fawang; Feng, Libo; Turner, Ian
2020
Flow and heat transfer of double fractional Maxwell fluids over a stretching sheet with variable thickness. Zbl 1481.76281
Yang, Weidong; Chen, Xuehui; Zhang, Xinru; Zheng, Liancun; Liu, Fawang
2020
Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients. Zbl 1446.65082
Yang, Shuiping; Liu, Fawang; Feng, Libo; Turner, Ian W.
2020
A novel finite element method for the distributed-order time fractional Cable equation in two dimensions. Zbl 1447.65072
Gao, Xinghua; Liu, Fawang; Li, Hong; Liu, Yang; Turner, Ian; Yin, Baoli
2020
A fast and high accuracy numerical simulation for a fractional Black-Scholes model on two assets. Zbl 1463.65257
Zhang, Hongmei; Liu, Fawang; Chen, Shanzhen; Shen, Ming
2020
Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation. Zbl 1452.65285
Zheng, Rumeng; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian W.
2020
Finite difference/finite element method for two-dimensional time-space fractional Bloch-Torrey equations with variable coefficients on irregular convex domains. Zbl 07283154
Xu, Tao; Liu, Fawang; Lü, Shujuan; Anh, Vo V.
2020
Some second-order $$\theta$$ schemes combined with finite element method for nonlinear fractional cable equation. Zbl 1433.65218
Liu, Yang; Du, Yanwei; Li, Hong; Liu, Fawang; Wang, Yajun
2019
Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains. Zbl 1442.65268
Liu, Fawang; Feng, Libo; Anh, Vo; Li, Jing
2019
Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. Zbl 1464.65119
Feng, Libo; Liu, Fawang; Turner, Ian
2019
The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation. Zbl 1398.65229
Shen, Shujun; Liu, Fawang; Anh, Vo V.
2019
An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations. Zbl 1407.65114
Liu, Zeting; Liu, Fawang; Zeng, Fanhai
2019
An unstructured mesh finite element method for solving the multi-term time fractional and Riesz space distributed-order wave equation on an irregular convex domain. Zbl 1481.65190
Shi, Y. H.; Liu, F.; Zhao, Y. M.; Wang, F. L.; Turner, I.
2019
Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications. Zbl 1448.76151
Chen, Ruige; Liu, Fawang; Anh, Vo
2019
Unsteady boundary layer flow of viscoelastic MHD fluid with a double fractional Maxwell model. Zbl 1448.76017
Chen, Xuehui; Yang, Weidong; Zhang, Xinru; Liu, Fawang
2019
Analytical and numerical solutions of a two-dimensional multi-term time-fractional Oldroyd-B model. Zbl 1418.76039
Zhang, Jinghua; Liu, Fawang; Anh, Vo V.
2019
A fractional alternating-direction implicit method for a multi-term time-space fractional Bloch-Torrey equations in three dimensions. Zbl 1442.65154
Chen, Ruige; Liu, Fawang; Anh, Vo
2019
Effects of fractional mass transfer and chemical reaction on MHD flow in a heterogeneous porous medium. Zbl 1443.76243
Liu, Chunyan; Zheng, Liancun; Pan, Mingyang; Lin, Ping; Liu, Fawang
2019
Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever. Zbl 1448.92317
Li, T.; Wang, Y.; Liu, F.; Turner, I.
2019
Analytical and numerical solutions of a multi-term time-fractional Burgers’ fluid model. Zbl 1428.76148
Zhang, Jinghua; Liu, Fawang; Lin, Zeng; Anh, Vo
2019
A new time and spatial fractional heat conduction model for Maxwell nanofluid in porous medium. Zbl 1442.76012
Zhang, Mengchen; Shen, Ming; Liu, Fawang; Zhang, Hongmei
2019
A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain. Zbl 1380.65260
Fan, Wenping; Liu, Fawang
2018
Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid. Zbl 1439.76120
Feng, Libo; Liu, Fawang; Turner, Ian; Zheng, Liancun
2018
Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. Zbl 1480.65253
Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui
2018
The unstructured mesh finite element method for the two-dimensional multi-term time-space fractional diffusion-wave equation on an irregular convex domain. Zbl 1407.65156
Fan, Wenping; Jiang, Xiaoyun; Liu, Fawang; Anh, Vo
2018
A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation. Zbl 1442.65301
Zhang, Hui; Liu, Fawang; Jiang, Xiaoyun; Zeng, Fanhai; Turner, Ian
2018
Reproducing kernel particle method for two-dimensional time-space fractional diffusion equations in irregular domains. Zbl 1404.65095
Lin, Zeng; Liu, Fawang; Wang, Dongdong; Gu, Yuantong
2018
Time-fractional diffusion equation for signal smoothing. Zbl 1426.94055
Li, Yuanlu; Liu, Fawang; Turner, Ian W.; Li, Tao
2018
A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements. Zbl 07263241
Qin, Shanlin; Liu, Fawang; Turner, Ian W.
2018
Analytical and numerical solutions of the unsteady 2D flow of MHD fractional Maxwell fluid induced by variable pressure gradient. Zbl 1409.76094
Zhang, Yan; Zhao, Haojie; Liu, Fawang; Bai, Yu
2018
Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains. Zbl 1418.65105
Qin, Shanlin; Liu, Fawang; Turner, Ian W.; Yang, Qianqian; Yu, Qiang
2018
Some novel numerical techniques for an inverse problem of the multi-term time fractional partial differential equation. Zbl 1382.65292
Fan, W.; Liu, F.; Jiang, X.; Turner, I.
2018
A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region. Zbl 06933818
Chen, S.; Liu, F.; Turner, I.; Anh, V.
2018
A novel approach of high accuracy analysis of anisotropic bilinear finite element for time-fractional diffusion equations with variable coefficient. Zbl 1419.65073
Wang, F. L.; Liu, F.; Zhao, Y. M.; Shi, Y. H.; Shi, Z. G.
2018
Fully discrete spectral methods for solving time fractional nonlinear sine-Gordon equation with smooth and non-smooth solutions. Zbl 1427.65292
Liu, Zeting; Lü, Shujuan; Liu, Fawang
2018
Fast numerical simulation of a new time-space fractional option pricing model governing European call option. Zbl 1429.91346
Zhang, H.; Liu, F.; Chen, S.; Anh, V.; Chen, J.
2018
Differential quadrature method for space-fractional diffusion equations on 2D irregular domains. Zbl 06967414
Zhu, X. G.; Yuan, Z. B.; Liu, F.; Nie, Y. F.
2018
Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes. Zbl 1427.65260
Shi, Z. G.; Zhao, Y. M.; Liu, F.; Wang, F. L.; Tang, Y. F.
2018
Novel analytical and numerical techniques for fractional temporal SEIR measles model. Zbl 1402.92379
Abdullah, F. A.; Liu, F.; Burrage, P.; Burrage, K.; Li, T.
2018
A spatial-fractional thermal transport model for nanofluid in porous media. Zbl 1480.76123
Pan, Mingyang; Zheng, Liancun; Liu, Fawang; Liu, Chunyan; Chen, Xuehui
2018
Anomalous diffusion in comb model with fractional dual-phase-lag constitutive relation. Zbl 1419.82030
Liu, Lin; Zheng, Liancun; Chen, Yanping; Liu, Fawang
2018
Boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness. Zbl 1460.76028
Liu, Lin; Liu, Fawang
2018
A stochastic model for thermal transport of nanofluid in porous media: derivation and applications. Zbl 1409.76142
Pan, Mingyang; Zheng, Liancun; Liu, Chunyan; Liu, Fawang; Lin, Ping; Chen, Goong
2018
Comb model for the anomalous diffusion with dual-phase-lag constitutive relation. Zbl 07265235
Liu, Lin; Zheng, Liancun; Fan, Yu; Chen, Yanping; Liu, Fawang
2018
A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain. Zbl 1364.65162
Fan, Wenping; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian
2017
A novel finite volume method for the Riesz space distributed-order diffusion equation. Zbl 1384.65059
Li, J.; Liu, F.; Feng, L.; Turner, I.
2017
A novel finite volume method for the Riesz space distributed-order advection-diffusion equation. Zbl 1443.65162
Li, J.; Liu, F.; Feng, L.; Turner, I.
2017
Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains. Zbl 1378.35330
Yang, Z.; Yuan, Z.; Nie, Y.; Wang, J.; Zhu, X.; Liu, F.
2017
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Zbl 1412.65159
Zhao, Yanmin; Zhang, Yadong; Liu, F.; Turner, I.; Tang, Yifa; Anh, V.
2017
A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. Zbl 1412.65072
Feng, L. B.; Zhuang, P.; Liu, F.; Turner, I.; Anh, V.; Li, J.
2017
Multi-term time-fractional Bloch equations and application in magnetic resonance imaging. Zbl 1394.92075
Qin, Shanlin; Liu, Fawang; Turner, Ian; Vegh, Viktor; Yu, Qiang; Yang, Qianqian
2017
Numerical methods for the two-dimensional multi-term time-fractional diffusion equations. Zbl 1397.65150
Zhao, Linlin; Liu, Fawang; Anh, Vo V.
2017
Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. Zbl 1415.65205
Zheng, Minling; Liu, Fawang; Liu, Qingxia; Burrage, Kevin; Simpson, Matthew J.
2017
High accuracy analysis of an $$H^1$$-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations. Zbl 1397.65191
Shi, Z. G.; Zhao, Y. M.; Liu, F.; Tang, Y. F.; Wang, F. L.; Shi, Y. H.
2017
Exact solution and invariant for fractional Cattaneo anomalous diffusion of cells in two-dimensional comb framework. Zbl 1374.35423
Liu, Lin; Zheng, Liancun; Liu, Fawang; Zhang, Xinxin
2017
Numerical simulation of a finite moment log stable model for a European call option. Zbl 1378.91126
Zhang, Hongmei; Liu, F.; Turner, I.; Chen, S.; Yang, Q.
2017
Unsteady Marangoni convection heat transfer of fractional Maxwell fluid with Cattaneo heat flux. Zbl 1443.76094
Zhao, Jinhu; Zheng, Liancun; Chen, Xuehui; Zhang, Xinxin; Liu, Fawang
2017
Symmetry analysis and conservation laws to the space-fractional Prandtl equation. Zbl 1390.37113
Pan, Mingyang; Zheng, Liancun; Liu, Chunyan; Liu, Fawang
2017
A finite volume unstructured mesh method for fractional-in-space Allen-Cahn equation. Zbl 1424.65145
Chen, Aimin; Liu, Fawang
2017
Unsteady flow of viscoelastic fluid with the fractional K-BKZ model between two parallel plates. Zbl 1446.76043
Sin, Chung-Sik; Zheng, Liancun; Sin, Jun-Sik; Liu, Fawang; Liu, Lin
2017
Temporal anomalous diffusion and drift of particles in a comb backbone with fractional Cattaneo $$-$$ Christov flux. Zbl 1457.82378
Liu, Lin; Zheng, Liancun; Liu, Fawang
2017
A high-order spectral method for the multi-term time-fractional diffusion equations. Zbl 1459.65205
Zheng, M.; Liu, F.; Anh, V.; Turner, I.
2016
Finite element method for space-time fractional diffusion equation. Zbl 1343.65122
Feng, L. B.; Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Gu, Yuan Tong
2016
Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. Zbl 1382.65290
Chen, Shiping; Liu, Fawang; Jiang, X.; Turner, Ian; Burrage, Kevin
2016
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334
Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian
2016
Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125
Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo
2016
Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid. Zbl 1398.35277
Ming, Chunying; Liu, Fawang; Zheng, Liancun; Turner, Ian; Anh, Vo
2016
Numerical solution of the time fractional Black-Scholes model governing European options. Zbl 1443.91335
Zhang, H.; Liu, F.; Turner, I.; Yang, Q.
2016
The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option. Zbl 1465.91131
Zhang, H.; Liu, F.; Turner, I.; Chen, S.
2016
An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation. Zbl 1343.65110
Hu, Xiuling; Liu, Fawang; Turner, Ian; Anh, Vo
2016
Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Zbl 1471.65156
Zhao, Y. M.; Zhang, Y. D.; Liu, F.; Turner, I.; Shi, D. Y.
2016
An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach. Zbl 1471.65167
Yuan, Z. B.; Nie, Y. F.; Liu, F.; Turner, I.; Zhang, G. Y.; Gu, Y. T.
2016
Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux. Zbl 1458.76095
Liu, Lin; Zheng, Liancun; Liu, Fawang; Zhang, Xinxin
2016
Modeling heat transport in nanofluids with stagnation point flow using fractional calculus. Zbl 1480.76006
Pan, Mingyang; Zheng, Liancun; Liu, Fawang; Zhang, Xinxin
2016
Lie group analysis and similarity solution for fractional Blasius flow. Zbl 1473.35016
Pan, Mingyang; Zheng, Liancun; Liu, Fawang; Zhang, Xinxin
2016
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2015
A novel high order space-time spectral method for the time fractional Fokker-Planck equation. Zbl 1320.82052
Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo
2015
A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain. Zbl 1349.65316
Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K.
2015
Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. Zbl 1349.65353
Ye, H.; Liu, Fawang; Anh, V.
2015
Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains. Zbl 1337.65120
Ye, H.; Liu, Fawang; Anh, V.; Turner, I.
2015
A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation. Zbl 1339.65132
Liu, Q.; Liu, F.; Gu, Y. T.; Zhuang, P.; Chen, Jinghua; Turner, I.
2015
Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. Zbl 1339.65144
Feng, L. B.; Zhuang, P.; Liu, Fawang; Turner, I.
2015
Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations. Zbl 1380.65188
Wang, Xue Bin; Liu, Fawang; Chen, X.
2015
A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Zbl 1339.65104
Chen, S.; Liu, Fawang; Jiang, X.; Turner, I.; Anh, V.
2015
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. Zbl 1304.65202
Chen, S.; Jiang, X.; Liu, F.; Turner, I.
2015
Numerical simulation of anomalous infiltration in porous media. Zbl 1310.76121
Shen, S.; Liu, Fawang; Liu, Q.; Anh, Vo V.
2015
A center box method for radially symmetric solution of fractional subdiffusion equation. Zbl 1339.65120
Hu, Xiuling; Liao, Hong-Lin; Liu, F.; Turner, I.
2015
A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349
Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V.
2014
A new fractional finite volume method for solving the fractional diffusion equation. Zbl 1429.65213
Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V.
2014
Stability and convergence of a finite volume method for the space fractional advection-dispersion equation. Zbl 1291.65280
Hejazi, H.; Moroney, T.; Liu, F.
2014
...and 111 more Documents
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### Cited by 2,774 Authors

 158 Liu, Fawang 84 Turner, Ian William 68 Wang, Hong 60 Anh, Vo V. 47 Dehghan Takht Fooladi, Mehdi 44 Sun, Zhizhong 42 Abbaszadeh, Mostafa 42 Băleanu, Dumitru I. 38 Jiang, Xiaoyun 36 Li, Changpin 34 Deng, Weihua 33 Xu, Da 33 Zheng, Xiangcheng 32 Macías-Díaz, Jorge Eduardo 32 Sun, Haiwei 30 Li, Hong 30 Liu, Yang 25 Burrage, Kevin 25 Tang, Yifa 25 Zaky, Mahmoud A. 24 Huang, Chengming 23 Atangana, Abdon 22 Avazzadeh, Zakieh 22 Bhrawy, Ali Hassan 22 Karniadakis, George Em 22 Sun, Hongguang 21 Heydari, Mohammad Hossien 21 Machado, José António Tenreiro 21 Wei, LeiLei 21 Zheng, Liancun 20 Feng, Libo 20 Mohebbi, Akbar 20 Zhuang, Pinghui 19 Gao, Guanghua 19 Wei, Ting 19 Zeng, Fanhai 18 Ding, Hengfei 18 Hendy, Ahmed S. 18 Lu, Shujuan 18 Vong, Seakweng 17 Bu, Weiping 17 Chen, Changming 17 Fu, Hongfei 17 Gu, Xian-Ming 17 Li, Xiaoli 17 Meerschaert, Mark Marvin 17 Sweilam, Nasser Hassan 17 Wang, Jungang 17 Wang, Zhibo 17 Yan, Yubin 17 Zhao, Yongliang 16 Khaliq, Abdul Q. M. 16 Li, Meng 16 Mustapha, Kassem 16 Xiao, Aiguo 16 Zhao, Yanmin 15 Abdelkawy, Mohamed A. 15 Chen, Wen 15 Cheng, Aijie 15 Lei, Siulong 15 Wang, Yuanming 15 Yin, Baoli 14 Owolabi, Kolade Matthew 14 Wu, Guocheng 14 Yang, Xuehua 13 Hao, Zhaopeng 13 Huang, Jianfei 13 Mei, Liquan 13 Nie, Yufeng 13 Shivanian, Elyas 13 Zhang, Haixiang 13 Zhang, Xindong 12 Alikhanov, Anatoly A. 12 Chen, Hu 12 Chen, Yangquan 12 Huang, Ting-Zhu 12 Jia, Jinhong 12 Ordokhani, Yadollah 12 Wu, Yujiang 12 Yang, Qianqian 12 Zhang, Chengjian 12 Zhang, Jiwei 11 Chen, Minghua 11 Chen, Shanzhen 11 Cui, Mingrong 11 Gómez-Aguilar, José Francisco 11 Li, Xiaoxiao 11 Liu, Huan 11 Liu, Zhengguang 11 Ng, Michael Kwok-Po 11 Yang, Fan 11 Zhao, Zhengang 10 Doha, Eid H. 10 Javidi, Mohammad 10 Li, Dongfang 10 Liao, HongLin 10 Liu, Qingxia 10 Lyu, Pin 10 Rui, Hongxing 10 Shen, Shujun ...and 2,674 more Authors
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### Cited in 256 Serials

 199 Computers & Mathematics with Applications 185 Applied Mathematics and Computation 138 Journal of Computational Physics 137 Applied Numerical Mathematics 117 Journal of Computational and Applied Mathematics 98 Journal of Scientific Computing 97 Numerical Algorithms 91 Advances in Difference Equations 75 Fractional Calculus & Applied Analysis 67 International Journal of Computer Mathematics 67 Computational and Applied Mathematics 65 Applied Mathematical Modelling 58 Applied Mathematics Letters 49 Engineering Analysis with Boundary Elements 48 Chaos, Solitons and Fractals 44 Communications in Nonlinear Science and Numerical Simulation 43 Mathematics and Computers in Simulation 43 Journal of Applied Mathematics and Computing 33 Advances in Mathematical Physics 31 Mathematical Problems in Engineering 29 SIAM Journal on Scientific Computing 28 Nonlinear Dynamics 28 Abstract and Applied Analysis 27 Numerical Methods for Partial Differential Equations 24 International Journal of Applied and Computational Mathematics 21 Advances in Computational Mathematics 21 Communications on Applied Mathematics and Computation 20 SIAM Journal on Numerical Analysis 19 Inverse Problems in Science and Engineering 19 East Asian Journal on Applied Mathematics 19 Journal of Function Spaces 19 AIMS Mathematics 18 Mathematical Methods in the Applied Sciences 18 Physica A 17 Fractals 17 Advances in Applied Mathematics and Mechanics 15 Computer Methods in Applied Mechanics and Engineering 13 BIT 13 Boundary Value Problems 12 Discrete Dynamics in Nature and Society 12 Discrete and Continuous Dynamical Systems. Series B 11 Applicable Analysis 11 Discrete and Continuous Dynamical Systems. Series S 10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Computational Mechanics 9 Complexity 9 Mathematical Modelling of Natural Phenomena 8 Calcolo 8 International Journal of Numerical Methods for Heat & Fluid Flow 8 International Journal of Nonlinear Sciences and Numerical Simulation 8 Journal of Nonlinear Science and Applications 8 International Journal of Differential Equations 7 Inverse Problems 7 Mathematics of Computation 7 Numerical Functional Analysis and Optimization 7 Journal of Mathematical Chemistry 7 Computational Methods in Applied Mathematics 7 Journal of Applied Mathematics 7 Communications in Computational Physics 7 Journal of Applied Analysis and Computation 7 Mathematical Sciences 7 Fractional Differential Calculus 6 Journal of Mathematical Analysis and Applications 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Journal of Vibration and Control 6 Taiwanese Journal of Mathematics 6 Science China. Mathematics 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of the Franklin Institute 5 Journal of Mathematical Physics 5 Numerische Mathematik 5 Chaos 5 International Journal of Applied Mathematics and Computer Science 5 International Journal of Biomathematics 5 Evolution Equations and Control Theory 5 Computational Methods for Differential Equations 4 Applied Mathematics and Mechanics. (English Edition) 4 Computational Mathematics and Mathematical Physics 4 Journal of Inverse and Ill-Posed Problems 4 Integral Transforms and Special Functions 4 Journal of Inequalities and Applications 4 Nonlinear Analysis. Real World Applications 4 Mathematical Modelling and Analysis 4 International Journal of Computational Methods 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Applications and Applied Mathematics 4 S$$\vec{\text{e}}$$MA Journal 4 Journal of Mathematics 3 Computer Physics Communications 3 Journal of Statistical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Mathematical and Computer Modelling 3 SIAM Journal on Matrix Analysis and Applications 3 SIAM Journal on Applied Mathematics 3 Applied Mathematics. Series B (English Edition) 3 European Journal of Control 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 The ANZIAM Journal 3 Nonlinear Analysis. Modelling and Control 3 Acta Mathematica Scientia. Series B. (English Edition) ...and 156 more Serials
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### Cited in 46 Fields

 2,026 Numerical analysis (65-XX) 1,799 Partial differential equations (35-XX) 606 Real functions (26-XX) 336 Ordinary differential equations (34-XX) 233 Fluid mechanics (76-XX) 164 Integral equations (45-XX) 92 Biology and other natural sciences (92-XX) 88 Special functions (33-XX) 84 Probability theory and stochastic processes (60-XX) 84 Statistical mechanics, structure of matter (82-XX) 69 Operator theory (47-XX) 61 Approximations and expansions (41-XX) 57 Classical thermodynamics, heat transfer (80-XX) 55 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 54 Mechanics of deformable solids (74-XX) 47 Systems theory; control (93-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 36 Integral transforms, operational calculus (44-XX) 32 Dynamical systems and ergodic theory (37-XX) 28 Difference and functional equations (39-XX) 19 Optics, electromagnetic theory (78-XX) 14 Functional analysis (46-XX) 14 Quantum theory (81-XX) 14 Geophysics (86-XX) 13 Statistics (62-XX) 12 Operations research, mathematical programming (90-XX) 12 Information and communication theory, circuits (94-XX) 7 Computer science (68-XX) 5 Measure and integration (28-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Number theory (11-XX) 4 Potential theory (31-XX) 4 Mechanics of particles and systems (70-XX) 3 Functions of a complex variable (30-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)