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## Liu, Fawang

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 Author ID: liu.fawang Published as: Liu, F.; Liu, Fa Wang; Liu, Fawang Homepage: https://staff.qut.edu.au/staff/f.liu External Links: MGP · ORCID · dblp
 Documents Indexed: 242 Publications since 1984
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#### Co-Authors

 1 single-authored 108 Turner, Ian William 80 Anh, Vo V. 27 Burrage, Kevin 27 Zhuang, Pinghui 18 Zheng, Liancun 15 Shen, Shujun 14 Chen, Changming 14 Zhang, Hongmei 13 Feng, Libo 12 Chen, Jinghua 12 Yang, Qianqian 11 Yu, Qiang 10 Gu, Yuantong 10 Jiang, Xiaoyun 9 Chen, Shanzhen 9 Liu, Qingxia 8 Liu, Lin 7 Chen, Xuehui 6 Chen, Shiping 6 Pan, Mingyang 6 Zeng, Fanhai 6 Zhao, Yanmin 5 Liu, Quansheng 5 Zhang, Xinxin 5 Zheng, Minling 4 Fan, Wenping 4 Hu, Xiuling 4 Huang, Feicheng 4 Ilić, Miloš 4 Li, Changpin 4 Li, Jing 4 Liu, Chunyan 4 Moroney, Timothy J. 4 Nie, Yufeng 4 Wang, Fenling 3 Cai, Xin 3 Chen, Yanping 3 Li, Tao 3 Lin, Ran 3 Lu, Shujuan 3 Lu, Xuanzhu 3 Mcelwain, D. L. Sean 3 Meerschaert, Mark M. 3 Miller, John James Henry 3 Qin, Shanlin 3 Shi, Yanhua 3 Shi, Zhengguang 3 Song, Jiqian 3 Su, Ninghu 3 Tang, Yifa 3 Vegh, Viktor 3 Yang, Weidong 3 Ye, Hongfei 3 Yuan, Zhanbin 3 Zhang, Xinru 2 Chen, Ruige 2 Chen, Yunkun 2 Fečkan, Michal 2 Fitzsimons, Conor J. 2 Hejazi, Hala 2 Jiang, Haiwen 2 Li, Hong 2 Lin, Ping 2 Lin, Zeng 2 Liu, Yang 2 Liu, Zeting 2 Machado, José António Tenreiro 2 Shen, Ming 2 Wang, Xuebin 2 Xu, Tao 2 Yang, Chenhang 2 Yang, Shuiping 2 Zhang, Jinghua 2 Zhang, Yan 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, Shaoying 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 Jiang, Hangjin 1 Jin, Zhengmeng 1 Li, Botong 1 Li, Lang 1 Li, Yuanlu ...and 39 more Co-Authors
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#### Serials

 31 Computers & Mathematics with Applications 24 Applied Mathematics and Computation 22 Applied Mathematical Modelling 19 Journal of Computational and Applied Mathematics 15 Journal of Xiamen University. Natural Science 15 Numerical Algorithms 15 The ANZIAM Journal 14 Journal of Applied Mathematics and Computing 9 IMA Journal of Applied Mathematics 7 Fractional Calculus & Applied Analysis 6 Journal of Computational Physics 5 Applied Mathematics Letters 5 SIAM Journal on Scientific Computing 5 Communications in Nonlinear Science and Numerical Simulation 4 SIAM Journal on Numerical Analysis 4 Applied Numerical Mathematics 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 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 Computational Mechanics 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 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
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#### Fields

 179 Numerical analysis (65-XX) 151 Partial differential equations (35-XX) 67 Real functions (26-XX) 50 Fluid mechanics (76-XX) 23 Integral equations (45-XX) 15 Biology and other natural sciences (92-XX) 14 Ordinary differential equations (34-XX) 10 Classical thermodynamics, heat transfer (80-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Probability theory and stochastic processes (60-XX) 7 Integral transforms, operational calculus (44-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 4 Optics, electromagnetic theory (78-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 Harmonic analysis on Euclidean spaces (42-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

188 Publications have been cited 6,175 times in 2,117 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
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
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
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
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
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
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
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
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
Time fractional advection-dispersion equation. Zbl 1068.26006
Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P.
2003
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 approximation of a fractional-in-space diffusion equation. I. Zbl 1126.26009
Ilic, M.; Liu, Fawang; Turner, I.; Anh, V.
2005
Implicit difference approximation for the time fractional diffusion equation. Zbl 1140.65094
Zhuang, P.; Liu, Fawang
2006
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2015
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 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
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 methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124
Liu, F.; Zhuang, P.; 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
Analytical solution for the time-fractional telegraph equation by the method of separating variables. Zbl 1138.35373
Chen, J.; Liu, Fawang; Anh, V.
2008
Spectral approximations to the fractional integral and derivative. Zbl 1276.26016
Li, Changpin; Zeng, Fanhai; Liu, Fawang
2012
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
Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089
Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V.
2012
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
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
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
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
Finite element approximation for a modified anomalous subdiffusion equation. Zbl 1221.65257
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
2011
The time fractional diffusion equation and the advection-dispersion equation. Zbl 1072.35218
Huang, F.; Liu, Fawang
2005
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 fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.
2008
An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation. Zbl 1231.65178
Gu, Y. T.; Zhuang, P.; Liu, F.
2010
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
The fundamental solution of the space-time fractional advection-dispersion equation. Zbl 1086.35003
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
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
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
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
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
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 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
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
Numerical simulation for solute transport in fractal porous media. Zbl 1123.76363
Liu, Fawang; Anh, V.; Turner, I.; Zhuang, P.
2004
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
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
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
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
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
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
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
Fractional high order methods for the nonlinear fractional ordinary differential equation. Zbl 1118.65079
Lin, R.; Liu, Fawang
2007
Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains. Zbl 1378.35330
Yang, Zongze; Yuan, Zhanbin; Nie, Yufeng; Wang, Jungang; Zhu, Xiaogang; Liu, Fawang
2017
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
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 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
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 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
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
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
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
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
An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118
Chen, S.; Liu, Fawang; Turner, I.; Anh, V.
2013
Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Zbl 1228.93114
Liu, F.; Burrage, K.
2011
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
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
Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125
Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo
2016
ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation. Zbl 1146.76037
Chen, Shi Ping; Liu, Fawang
2008
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
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
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
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
The space-time fractional diffusion equation with Caputo derivatives. Zbl 1085.35003
Huang, F.; Liu, Fawang
2005
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 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
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
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
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
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
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 approximation for a variable-order nonlinear reaction-subdiffusion equation. Zbl 1278.65121
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.; Chen, Y.
2013
Numerical analysis for a variable-order nonlinear cable equation. Zbl 1243.65103
Chen, Chang-Ming; Liu, F.; Burrage, K.
2011
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
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 implicit finite difference method for the one-dimensional fractional percolation equation. Zbl 1429.65180
Chen, Shi Ping; Liu, F.; Anh, V.
2011
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
Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation. Zbl 1125.26014
Zhang, H.; Liu, Fawang; Anh, V.
2007
A computationally efficient solution technique for moving-boundary problems in finite media. Zbl 0958.80007
Liu, F.; McElwain, D. L. S.
1997
Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends. Zbl 1078.65563
Shen, Shujun; Liu, Fawang
2005
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
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
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
Numerical simulation of the fractional Bloch equations. Zbl 1291.65224
Yu, Q.; Liu, F.; Turner, I.; Burrage, K.
2014
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
Boundary layer flows of viscoelastic fluids over a non-uniform permeable surface. Zbl 1437.65104
Li, Botong; Liu, Fawang
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
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
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
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
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 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 07187165
Shi, Y. H.; Liu, F.; Zhao, Y. M.; Wang, F. L.; Turner, I.
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 07264702
Feng, Libo; Liu, Fawang; Turner, Ian
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
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
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
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
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
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
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 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
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
Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. Zbl 07167919
Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui
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
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
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
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
Time-fractional diffusion equation for signal smoothing. Zbl 1426.94055
Li, Yuanlu; Liu, Fawang; Turner, Ian W.; Li, Tao
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 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
A spatial-fractional thermal transport model for nanofluid in porous media. Zbl 07166444
Pan, Mingyang; Zheng, Liancun; Liu, Fawang; Liu, Chunyan; Chen, Xuehui
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
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
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
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 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
Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains. Zbl 1378.35330
Yang, Zongze; Yuan, Zhanbin; Nie, Yufeng; Wang, Jungang; Zhu, Xiaogang; Liu, Fawang
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
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
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 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
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
Symmetry analysis and conservation laws to the space-fractional Prandtl equation. Zbl 1390.37113
Pan, Mingyang; Zheng, Liancun; Liu, Chunyan; Liu, Fawang
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
A finite volume unstructured mesh method for fractional-in-space Allen-Cahn equation. Zbl 1424.65145
Chen, Aimin; Liu, Fawang
2017
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
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
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
Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125
Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo
2016
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
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
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
The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option. Zbl 07160219
Zhang, H.; Liu, F.; Turner, I.; Chen, S.
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
Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Zbl 07163050
Zhao, Y. M.; Zhang, Y. D.; Liu, F.; Turner, I.; Shi, D. Y.
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
Lie group analysis and similarity solution for fractional Blasius flow. Zbl 07247592
Pan, Mingyang; Zheng, Liancun; Liu, Fawang; Zhang, Xinxin
2016
Modeling heat transport in nanofluids with stagnation point flow using fractional calculus. Zbl 07163303
Pan, Mingyang; Zheng, Liancun; Liu, Fawang; Zhang, Xinxin
2016
An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach. Zbl 07162929
Yuan, Z. B.; Nie, Y. F.; Liu, F.; Turner, I.; Zhang, G. Y.; Gu, Y. T.
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
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 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
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
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
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
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
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
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
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
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
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
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
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 simulation of the fractional Bloch equations. Zbl 1291.65224
Yu, Q.; Liu, F.; Turner, I.; Burrage, K.
2014
Numerical simulation for the three-dimension fractional sub-diffusion equation. Zbl 1429.65179
Chen, J.; Liu, F.; Liu, Q.; Chen, X.; Anh, V.; Turner, I.; Burrage, K.
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
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
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
An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118
Chen, S.; Liu, Fawang; Turner, I.; Anh, V.
2013
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 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 fundamental solutions for multi-term modified power law wave equations in a finite domain. Zbl 1432.35005
Jiang, H.; Liu, F.; Meerschaert, M. M.; McGough, R. J.; Liu, Q.
2013
Some novel techniques of parameter estimation for dynamical models in biological systems. Zbl 1402.92203
Liu, F.; Burrage, K.; Hamilton, N. A.
2013
A numerical investigation of the time distributed-order diffusion model. Zbl 1390.65133
Hu, Xiuling; Liu, Fawang; Anh, Vo; Turner, Ian
2013
Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative. Zbl 1330.76092
Chen, Chang-Ming; Liu, F.; Burrage, K.; Chen, Y.
2013
Numerical techniques for simulating a fractional mathematical model of epidermal wound healing. Zbl 1325.92043
Chen, J.; Liu, F.; Burrage, K.; Shen, S.
2013
...and 88 more Documents
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#### Cited by 2,412 Authors

 152 Liu, Fawang 85 Turner, Ian William 56 Anh, Vo V. 56 Wang, Hong 43 Dehghan Takht Fooladi, Mehdi 41 Sun, Zhizhong 38 Abbaszadeh, Mostafa 35 Li, Changpin 34 Băleanu, Dumitru I. 34 Deng, Weihua 32 Jiang, Xiaoyun 27 Burrage, Kevin 26 Xu, Da 23 Li, Hong 23 Liu, Yang 22 Bhrawy, Ali Hassan 22 Macías-Díaz, Jorge Eduardo 22 Tang, Yifa 22 Zaky, Mahmoud A. 21 Sun, Haiwei 20 Atangana, Abdon 20 Huang, Chengming 20 Zheng, Xiangcheng 20 Zhuang, Pinghui 19 Karniadakis, George Em 19 Machado, José António Tenreiro 19 Zheng, Liancun 18 Gao, Guanghua 18 Vong, Seakweng 18 Wei, Ting 18 Zeng, Fanhai 17 Avazzadeh, Zakieh 17 Chen, Wen 17 Ding, Hengfei 17 Feng, Libo 17 Mohebbi, Akbar 17 Mustapha, Kassem 17 Wei, LeiLei 16 Chen, Changming 16 Meerschaert, Mark M. 16 Sun, Hongguang 16 Xiao, Aiguo 16 Yan, Yubin 15 Heydari, Mohammad Hossien 15 Khaliq, Abdul Q. M. 15 Wang, Jungang 15 Wang, Zhibo 14 Bu, Weiping 14 Li, Meng 14 Lu, Shujuan 14 Wang, Yuanming 14 Zhao, Yanmin 13 Fu, Hongfei 13 Hendy, Ahmed S. 13 Li, Xiaoli 13 Shivanian, Elyas 13 Yang, Qianqian 12 Abdelkawy, Mohamed A. 12 Gu, Xian-Ming 12 Hao, Zhaopeng 12 Lei, Siulong 12 Wu, Guocheng 11 Chen, Minghua 11 Chen, Yangquan 11 Cheng, Aijie 11 Mei, Liquan 11 Ng, Michael Kwok-Po 11 Owolabi, Kolade Matthew 11 Sweilam, Nasser Hassan 11 Wu, Yujiang 11 Zhang, Chengjian 11 Zhao, Yongliang 10 Chen, Jinghua 10 Chen, Shanzhen 10 Doha, Eid H. 10 Ezz-Eldien, Samer S. 10 Huang, Jianfei 10 Huang, Ting-Zhu 10 Lyu, Pin 10 Nie, Yufeng 10 Shen, Shujun 10 Wang, Dongling 10 Yin, Baoli 10 Zeng, Shengda 10 Zhao, Zhengang 9 Alikhanov, Anatoly A. 9 Cui, Mingrong 9 Gu, Yuantong 9 Li, Can 9 Lin, Xuelei 9 Ren, Jincheng 9 Rui, Hongxing 9 Wang, Fenling 9 Yamamoto, Masahiro 9 Yang, Xuehua 9 Zhang, Hongmei 9 Zhang, Xindong 9 Zhang, Zhongqiang 9 Zhao, Jingjun 9 Zhao, Xuan ...and 2,312 more Authors
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#### Cited in 218 Serials

 184 Computers & Mathematics with Applications 164 Applied Mathematics and Computation 136 Journal of Computational Physics 115 Applied Numerical Mathematics 108 Journal of Computational and Applied Mathematics 84 Journal of Scientific Computing 82 Numerical Algorithms 69 Fractional Calculus & Applied Analysis 63 Applied Mathematical Modelling 54 Advances in Difference Equations 48 Computational and Applied Mathematics 46 Applied Mathematics Letters 42 Engineering Analysis with Boundary Elements 35 Communications in Nonlinear Science and Numerical Simulation 31 Mathematical Problems in Engineering 30 Journal of Applied Mathematics and Computing 28 Nonlinear Dynamics 28 Abstract and Applied Analysis 27 Chaos, Solitons and Fractals 27 Numerical Methods for Partial Differential Equations 27 SIAM Journal on Scientific Computing 26 Mathematics and Computers in Simulation 26 International Journal of Computer Mathematics 24 Advances in Mathematical Physics 20 SIAM Journal on Numerical Analysis 18 Mathematical Methods in the Applied Sciences 17 East Asian Journal on Applied Mathematics 16 Advances in Computational Mathematics 15 Inverse Problems in Science and Engineering 14 Computer Methods in Applied Mechanics and Engineering 14 International Journal of Applied and Computational Mathematics 11 Discrete Dynamics in Nature and Society 10 Boundary Value Problems 10 Communications on Applied Mathematics and Computation 9 BIT 9 Complexity 8 Physica A 8 Calcolo 8 International Journal of Numerical Methods for Heat & Fluid Flow 8 International Journal of Nonlinear Sciences and Numerical Simulation 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Journal of Nonlinear Science and Applications 8 International Journal of Differential Equations 8 Journal of Function Spaces 7 Applicable Analysis 7 Mathematics of Computation 7 Journal of Mathematical Chemistry 7 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Applied Mathematics 7 Journal of Applied Analysis and Computation 6 Inverse Problems 6 Computational Mechanics 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Journal of Vibration and Control 6 Mathematical Modelling of Natural Phenomena 6 Discrete and Continuous Dynamical Systems. Series S 6 Science China. Mathematics 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Fractional Differential Calculus 5 Journal of Mathematical Analysis and Applications 5 Journal of Mathematical Physics 5 Numerical Functional Analysis and Optimization 5 Numerische Mathematik 5 Taiwanese Journal of Mathematics 5 Chaos 5 Computational Methods in Applied Mathematics 4 Journal of the Franklin Institute 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 International Journal of Applied Mathematics and Computer Science 4 International Journal of Computational Methods 4 Applications and Applied Mathematics 4 S$$\vec{\text{e}}$$MA Journal 4 Evolution Equations and Control Theory 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 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Nonlinear Analysis. Real World Applications 3 Nonlinear Analysis. Modelling and Control 3 Mediterranean Journal of Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 International Journal of Biomathematics 3 Arabian Journal of Mathematics 3 Mathematical Sciences 3 Mathematics 2 Journal of Fluid Mechanics 2 International Journal for Numerical Methods in Engineering 2 Journal of Optimization Theory and Applications 2 Meccanica 2 Optimal Control Applications & Methods 2 Bulletin of the Iranian Mathematical Society 2 Signal Processing 2 Computational Mathematics and Modeling ...and 118 more Serials
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#### Cited in 42 Fields

 1,634 Numerical analysis (65-XX) 1,484 Partial differential equations (35-XX) 435 Real functions (26-XX) 262 Ordinary differential equations (34-XX) 168 Fluid mechanics (76-XX) 141 Integral equations (45-XX) 82 Special functions (33-XX) 67 Probability theory and stochastic processes (60-XX) 65 Biology and other natural sciences (92-XX) 64 Statistical mechanics, structure of matter (82-XX) 56 Approximations and expansions (41-XX) 48 Operator theory (47-XX) 47 Classical thermodynamics, heat transfer (80-XX) 41 Mechanics of deformable solids (74-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Systems theory; control (93-XX) 31 Integral transforms, operational calculus (44-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 27 Dynamical systems and ergodic theory (37-XX) 22 Difference and functional equations (39-XX) 13 Geophysics (86-XX) 11 Functional analysis (46-XX) 11 Optics, electromagnetic theory (78-XX) 11 Information and communication theory, circuits (94-XX) 10 Statistics (62-XX) 9 Quantum theory (81-XX) 9 Operations research, mathematical programming (90-XX) 5 Mechanics of particles and systems (70-XX) 4 Number theory (11-XX) 4 Computer science (68-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX)