Edit Profile Liu, Fawang Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1036.82019Liu, Fawang; Anh, V.; Turner, I. 335 2004 Numerical methods for fractional partial differential equations with Riesz space fractional derivatives. Zbl 1185.65200Yang, Q.; Liu, Fawang; Turner, I. 233 2010 Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Zbl 1193.76093Liu, Fawang; Zhuang, P.; Anh, V.; Turner, I.; Burrage, K. 232 2007 Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. Zbl 1204.26013Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 213 2009 New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 199 2008 A Fourier method for the fractional diffusion equation describing sub-diffusion. Zbl 1165.65053Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V. 169 2007 Numerical methods for solving the multi-term time-fractional wave-diffusion equation. Zbl 1312.65138Liu, Fawang; Meerschaert, Mark; McGough, Robert; Zhuang, Pinghui; Liu, Qingxia 146 2013 A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V. 137 2014 The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 125 2013 Numerical schemes with high spatial accuracy for a variable-order anomalous subdiffusion equation. Zbl 1217.26011Chen, Chang-Ming; Liu, F.; Anh, V.; Turner, I. 121 2010 Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation. Zbl 1171.65101Lin, R.; Liu, Fawang; Anh, V.; Turner, I. 117 2009 Finite difference approximations for the fractional Fokker-Planck equation. Zbl 1167.65419Chen, S.; Liu, Fawang; Zhuang, P.; Anh, V. 114 2009 Novel numerical methods for solving the time-space fractional diffusion equation in two dimensions. Zbl 1229.35315Yang, Qianqian; Turner, Ian; Liu, Fawang; Ilić, Milos 111 2011 Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term. Zbl 1170.65107Liu, F.; Yang, C.; Burrage, K. 110 2009 Time fractional advection-dispersion equation. Zbl 1068.26006Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P. 103 2003 Galerkin finite element approximation of symmetric space-fractional partial differential equations. Zbl 1206.65234Zhang, H.; Liu, F.; Anh, V. 90 2010 An implicit RBF meshless approach for time fractional diffusion equations. Zbl 1377.76025Liu, Q.; Gu, Y. T.; Zhuang, P.; Liu, F.; Nie, Y. F. 89 2011 Numerical approximation of a fractional-in-space diffusion equation. I. Zbl 1126.26009Ilic, M.; Liu, Fawang; Turner, I.; Anh, V. 86 2005 Implicit difference approximation for the time fractional diffusion equation. Zbl 1140.65094Zhuang, P.; Liu, Fawang 85 2006 Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 84 2015 Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation. Zbl 1144.65057Chen, Chang-Ming; Liu, F.; Burrage, K. 84 2008 A novel high order space-time spectral method for the time fractional Fokker-Planck equation. Zbl 1320.82052Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo 79 2015 Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain. Zbl 1234.35300Jiang, H.; Liu, F.; Turner, I.; Burrage, K. 79 2012 Numerical methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124Liu, F.; Zhuang, P.; Burrage, K. 77 2012 Numerical approximation of a fractional-in space diffusion equation. II. With nonhomogeneous boundary conditions. Zbl 1132.35507Ilic, M.; Liu, F.; Turner, I.; Anh, V. 76 2006 Analytical solution for the time-fractional telegraph equation by the method of separating variables. Zbl 1138.35373Chen, J.; Liu, Fawang; Anh, V. 75 2008 Spectral approximations to the fractional integral and derivative. Zbl 1276.26016Li, Changpin; Zeng, Fanhai; Liu, Fawang 71 2012 A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model. Zbl 1350.65092Zhang, H.; Liu, F.; Phanikumar, Mantha S.; Meerschaert, Mark M. 70 2013 Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V. 69 2012 Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method. Zbl 1112.65006Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. 66 2007 Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Zbl 1268.35124Jiang, H.; Liu, Fawang; Turner, I.; Burrage, K. 63 2012 A new fractional finite volume method for solving the fractional diffusion equation. Zbl 1429.65213Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V. 62 2014 Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation. Zbl 1214.65046Shen, Shujun; Liu, Fawang; Anh, Vo 61 2011 Finite element approximation for a modified anomalous subdiffusion equation. Zbl 1221.65257Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. 60 2011 The time fractional diffusion equation and the advection-dispersion equation. Zbl 1072.35218Huang, F.; Liu, Fawang 60 2005 A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain. Zbl 1349.65316Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K. 59 2015 The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073Shen, S.; Liu, Fawang; Anh, V.; Turner, I. 58 2008 An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation. Zbl 1231.65178Gu, Y. T.; Zhuang, P.; Liu, F. 53 2010 Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. Zbl 1191.65116Chen, Chang-Ming; Liu, Fawang; Turner, Ian; Anh, Vo 52 2010 The fundamental solution of the space-time fractional advection-dispersion equation. Zbl 1086.35003Huang, F.; Liu, Fawang 52 2005 Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. Zbl 1349.65353Ye, H.; Liu, Fawang; Anh, V. 49 2015 Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Zbl 1241.65077Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I. 49 2012 Stability and convergence of a finite volume method for the space fractional advection-dispersion equation. Zbl 1291.65280Hejazi, H.; Moroney, T.; Liu, F. 44 2014 Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method. Zbl 1242.76262Zhuang, P.; Gu, Y. T.; Liu, Fawang; Turner, I.; Yarlagadda, P. K. D. V. 43 2011 A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain. Zbl 1364.65162Fan, Wenping; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian 38 2017 Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. Zbl 1339.65144Feng, L. B.; Zhuang, P.; Liu, Fawang; Turner, I. 37 2015 A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation. Zbl 1339.65132Liu, Q.; Liu, F.; Gu, Y. T.; Zhuang, P.; Chen, Jinghua; Turner, I. 37 2015 Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains. Zbl 1337.65120Ye, H.; Liu, Fawang; Anh, V.; Turner, I. 36 2015 Numerical simulation for solute transport in fractal porous media. Zbl 1123.76363Liu, Fawang; Anh, V.; Turner, I.; Zhuang, P. 36 2004 The analytical solution and numerical solution of the fractional diffusion-wave equation with damping. Zbl 1290.35306Chen, J.; Liu, Fawang; Anh, V.; Shen, S.; Liu, Q.; Liao, C. 35 2012 Stability and convergence of an implicit numerical method for the nonlinear fractional reaction-subdiffusion process. Zbl 1187.35271Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 35 2009 A RBF meshless approach for modeling a fractal mobile/immobile transport model. Zbl 1354.65204Liu, Q.; Liu, F.; Turner, I.; Anh, V.; Gu, Y. T. 34 2014 Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Zbl 1334.65143Zhang, Hongmei; Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V. 33 2014 Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation. Zbl 1082.60511Liu, Fawang; Shen, S.; Anh, V.; Turner, I. 33 2005 Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations. Zbl 1364.35428Ye, H.; Liu, Fawang; Anh, V.; Turner, I. 32 2014 A Fourier method and an extrapolation technique for Stokes’ first problem for a heated generalized second-grade fluid with fractional derivative. Zbl 1153.76049Chen, Changming; Liu, Fawang; Anh, V. 30 2009 Fractional high order methods for the nonlinear fractional ordinary differential equation. Zbl 1118.65079Lin, R.; Liu, Fawang 30 2007 Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains. Zbl 1378.35330Yang, Zongze; Yuan, Zhanbin; Nie, Yufeng; Wang, Jungang; Zhu, Xiaogang; Liu, Fawang 28 2017 Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations. Zbl 1380.65188Wang, Xue Bin; Liu, Fawang; Chen, X. 28 2015 Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes first problem for a heated generalized second grade fluid. Zbl 1228.65207Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V. 28 2011 A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain. Zbl 1380.65260Fan, Wenping; Liu, Fawang 27 2018 A novel finite volume method for the Riesz space distributed-order diffusion equation. Zbl 1384.65059Li, J.; Liu, F.; Feng, L.; Turner, I. 27 2017 A characteristic difference method for the variable-order fractional advection-diffusion equation. Zbl 1296.65114Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J. 27 2013 A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Zbl 1311.65114Yu, Q.; Liu, F.; Turner, I.; Burrage, K. 27 2012 A novel finite volume method for the Riesz space distributed-order advection-diffusion equation. Zbl 1443.65162Li, J.; Liu, F.; Feng, L.; Turner, I. 25 2017 Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian 25 2016 Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. Zbl 1382.65290Chen, Shiping; Liu, Fawang; Jiang, X.; Turner, Ian; Burrage, Kevin 25 2016 A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Zbl 1339.65104Chen, S.; Liu, Fawang; Jiang, X.; Turner, I.; Anh, V. 25 2015 An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118Chen, S.; Liu, Fawang; Turner, I.; Anh, V. 25 2013 Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Zbl 1228.93114Liu, F.; Burrage, K. 25 2011 Numerical simulation for the 3D seepage flow with fractional derivatives in porous media. Zbl 1169.76427Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. 25 2009 Finite element method for space-time fractional diffusion equation. Zbl 1343.65122Feng, L. B.; Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Gu, Yuan Tong 24 2016 Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo 24 2016 ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation. Zbl 1146.76037Chen, Shi Ping; Liu, Fawang 24 2008 A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1408.65057Song, J.; Yu, Q.; Liu, F.; Turner, I. 22 2014 A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J. 22 2014 Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1339.65151Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin 22 2013 Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation. Zbl 1429.65233Zhuang, P.; Liu, F.; Turner, I.; Gu, Y. T. 21 2014 Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1369.35105Chen, S.; Liu, F.; Burrage, K. 21 2014 The space-time fractional diffusion equation with Caputo derivatives. Zbl 1085.35003Huang, F.; Liu, Fawang 21 2005 High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. Zbl 1304.65202Chen, S.; Jiang, X.; Liu, F.; Turner, I. 20 2015 Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second-grade fluid with fractional derivatives. Zbl 1153.76010Chen, Changming; Liu, Fawang; Anh, V. 20 2008 A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations. Zbl 1429.65215Yang, Qianqian; Turner, Ian; Moroney, Timothy; Liu, Fawang 19 2014 Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term. Zbl 1227.65072Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I. 19 2011 Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1362.35319Chen, S.; Liu, F.; Burrage, K. 18 2014 A high-order spectral method for the multi-term time-fractional diffusion equations. Zbl 1459.65205Zheng, M.; Liu, F.; Anh, V.; Turner, I. 17 2016 Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid. Zbl 1398.35277Ming, Chunying; Liu, Fawang; Zheng, Liancun; Turner, Ian; Anh, Vo 17 2016 Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation. Zbl 1278.65121Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.; Chen, Y. 16 2013 Numerical analysis for a variable-order nonlinear cable equation. Zbl 1243.65103Chen, Chang-Ming; Liu, F.; Burrage, K. 16 2011 Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation. Zbl 1433.65218Liu, Yang; Du, Yanwei; Li, Hong; Liu, Fawang; Wang, Yajun 15 2019 Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Zbl 1412.65159Zhao, Yanmin; Zhang, Yadong; Liu, F.; Turner, I.; Tang, Yifa; Anh, V. 15 2017 A novel implicit finite difference method for the one-dimensional fractional percolation equation. Zbl 1429.65180Chen, Shi Ping; Liu, F.; Anh, V. 15 2011 Solving linear and nonlinear space-time fractional reaction-diffusion equations by the Adomian decomposition method. Zbl 1159.76367Yu, Q.; Liu, Fawang; Anh, V.; Turner, I. 15 2008 Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation. Zbl 1125.26014Zhang, H.; Liu, Fawang; Anh, V. 15 2007 A computationally efficient solution technique for moving-boundary problems in finite media. Zbl 0958.80007Liu, F.; McElwain, D. L. S. 14 1997 Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends. Zbl 1078.65563Shen, Shujun; Liu, Fawang 13 2005 The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation. Zbl 1398.65229Shen, Shujun; Liu, Fawang; Anh, Vo V. 12 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 1439.76120Feng, Libo; Liu, Fawang; Turner, Ian; Zheng, Liancun 12 2018 An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation. Zbl 1343.65110Hu, Xiuling; Liu, Fawang; Turner, Ian; Anh, Vo 12 2016 Numerical simulation of the fractional Bloch equations. Zbl 1291.65224Yu, Q.; Liu, F.; Turner, I.; Burrage, K. 12 2014 An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains. Zbl 07143627Feng, Libo; Liu, Fawang; Turner, Ian 3 2020 Boundary layer flows of viscoelastic fluids over a non-uniform permeable surface. Zbl 1437.65104Li, Botong; Liu, Fawang 2 2020 A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions. Zbl 1437.65154Zheng, Rumeng; Liu, Fawang; Jiang, Xiaoyun 2 2020 A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation. Zbl 1440.65142Li, Lang; Liu, Fawang; Feng, Libo; Turner, Ian 2 2020 Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients. Zbl 1446.65082Yang, Shuiping; Liu, Fawang; Feng, Libo; Turner, Ian W. 1 2020 Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation. Zbl 1433.65218Liu, Yang; Du, Yanwei; Li, Hong; Liu, Fawang; Wang, Yajun 15 2019 The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation. Zbl 1398.65229Shen, Shujun; Liu, Fawang; Anh, Vo V. 12 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 07187165Shi, Y. H.; Liu, F.; Zhao, Y. M.; Wang, F. L.; Turner, I. 9 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 07264702Feng, Libo; Liu, Fawang; Turner, Ian 8 2019 Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications. Zbl 1448.76151Chen, Ruige; Liu, Fawang; Anh, Vo 7 2019 Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains. Zbl 1442.65268Liu, Fawang; Feng, Libo; Anh, Vo; Li, Jing 6 2019 An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations. Zbl 1407.65114Liu, Zeting; Liu, Fawang; Zeng, Fanhai 6 2019 A fractional alternating-direction implicit method for a multi-term time-space fractional Bloch-Torrey equations in three dimensions. Zbl 1442.65154Chen, Ruige; Liu, Fawang; Anh, Vo 3 2019 Unsteady boundary layer flow of viscoelastic MHD fluid with a double fractional Maxwell model. Zbl 1448.76017Chen, Xuehui; Yang, Weidong; Zhang, Xinru; Liu, Fawang 2 2019 Effects of fractional mass transfer and chemical reaction on MHD flow in a heterogeneous porous medium. Zbl 1443.76243Liu, Chunyan; Zheng, Liancun; Pan, Mingyang; Lin, Ping; Liu, Fawang 1 2019 Analytical and numerical solutions of a two-dimensional multi-term time-fractional Oldroyd-B model. Zbl 1418.76039Zhang, Jinghua; Liu, Fawang; Anh, Vo V. 1 2019 A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain. Zbl 1380.65260Fan, Wenping; Liu, Fawang 27 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 1439.76120Feng, Libo; Liu, Fawang; Turner, Ian; Zheng, Liancun 12 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 1407.65156Fan, Wenping; Jiang, Xiaoyun; Liu, Fawang; Anh, Vo 11 2018 Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. Zbl 07167919Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui 10 2018 Reproducing kernel particle method for two-dimensional time-space fractional diffusion equations in irregular domains. Zbl 1404.65095Lin, Zeng; Liu, Fawang; Wang, Dongdong; Gu, Yuantong 9 2018 A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation. Zbl 1442.65301Zhang, Hui; Liu, Fawang; Jiang, Xiaoyun; Zeng, Fanhai; Turner, Ian 7 2018 Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains. Zbl 1418.65105Qin, Shanlin; Liu, Fawang; Turner, Ian W.; Yang, Qianqian; Yu, Qiang 6 2018 Analytical and numerical solutions of the unsteady 2D flow of MHD fractional Maxwell fluid induced by variable pressure gradient. Zbl 1409.76094Zhang, Yan; Zhao, Haojie; Liu, Fawang; Bai, Yu 6 2018 Time-fractional diffusion equation for signal smoothing. Zbl 1426.94055Li, Yuanlu; Liu, Fawang; Turner, Ian W.; Li, Tao 5 2018 Some novel numerical techniques for an inverse problem of the multi-term time fractional partial differential equation. Zbl 1382.65292Fan, W.; Liu, F.; Jiang, X.; Turner, I. 5 2018 A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region. Zbl 06933818Chen, S.; Liu, F.; Turner, I.; Anh, V. 4 2018 A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements. Zbl 07263241Qin, Shanlin; Liu, Fawang; Turner, Ian W. 3 2018 A spatial-fractional thermal transport model for nanofluid in porous media. Zbl 07166444Pan, Mingyang; Zheng, Liancun; Liu, Fawang; Liu, Chunyan; Chen, Xuehui 3 2018 Fully discrete spectral methods for solving time fractional nonlinear sine-Gordon equation with smooth and non-smooth solutions. Zbl 1427.65292Liu, Zeting; Lü, Shujuan; Liu, Fawang 3 2018 A novel approach of high accuracy analysis of anisotropic bilinear finite element for time-fractional diffusion equations with variable coefficient. Zbl 1419.65073Wang, F. L.; Liu, F.; Zhao, Y. M.; Shi, Y. H.; Shi, Z. G. 3 2018 A stochastic model for thermal transport of nanofluid in porous media: derivation and applications. Zbl 1409.76142Pan, Mingyang; Zheng, Liancun; Liu, Chunyan; Liu, Fawang; Lin, Ping; Chen, Goong 1 2018 Novel analytical and numerical techniques for fractional temporal SEIR measles model. Zbl 1402.92379Abdullah, F. A.; Liu, F.; Burrage, P.; Burrage, K.; Li, T. 1 2018 A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain. Zbl 1364.65162Fan, Wenping; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian 38 2017 Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains. Zbl 1378.35330Yang, Zongze; Yuan, Zhanbin; Nie, Yufeng; Wang, Jungang; Zhu, Xiaogang; Liu, Fawang 28 2017 A novel finite volume method for the Riesz space distributed-order diffusion equation. Zbl 1384.65059Li, J.; Liu, F.; Feng, L.; Turner, I. 27 2017 A novel finite volume method for the Riesz space distributed-order advection-diffusion equation. Zbl 1443.65162Li, J.; Liu, F.; Feng, L.; Turner, I. 25 2017 Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Zbl 1412.65159Zhao, Yanmin; Zhang, Yadong; Liu, F.; Turner, I.; Tang, Yifa; Anh, V. 15 2017 A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. Zbl 1412.65072Feng, L. B.; Zhuang, P.; Liu, F.; Turner, I.; Anh, V.; Li, J. 11 2017 Multi-term time-fractional Bloch equations and application in magnetic resonance imaging. Zbl 1394.92075Qin, Shanlin; Liu, Fawang; Turner, Ian; Vegh, Viktor; Yu, Qiang; Yang, Qianqian 11 2017 Numerical methods for the two-dimensional multi-term time-fractional diffusion equations. Zbl 1397.65150Zhao, Linlin; Liu, Fawang; Anh, Vo V. 7 2017 Exact solution and invariant for fractional Cattaneo anomalous diffusion of cells in two-dimensional comb framework. Zbl 1374.35423Liu, Lin; Zheng, Liancun; Liu, Fawang; Zhang, Xinxin 6 2017 Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. Zbl 1415.65205Zheng, Minling; Liu, Fawang; Liu, Qingxia; Burrage, Kevin; Simpson, Matthew J. 5 2017 High accuracy analysis of an \(H^1\)-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations. Zbl 1397.65191Shi, Z. G.; Zhao, Y. M.; Liu, F.; Tang, Y. F.; Wang, F. L.; Shi, Y. H. 4 2017 Numerical simulation of a finite moment log stable model for a European call option. Zbl 1378.91126Zhang, Hongmei; Liu, F.; Turner, I.; Chen, S.; Yang, Q. 3 2017 Symmetry analysis and conservation laws to the space-fractional Prandtl equation. Zbl 1390.37113Pan, Mingyang; Zheng, Liancun; Liu, Chunyan; Liu, Fawang 2 2017 Unsteady Marangoni convection heat transfer of fractional Maxwell fluid with Cattaneo heat flux. Zbl 1443.76094Zhao, Jinhu; Zheng, Liancun; Chen, Xuehui; Zhang, Xinxin; Liu, Fawang 1 2017 A finite volume unstructured mesh method for fractional-in-space Allen-Cahn equation. Zbl 1424.65145Chen, Aimin; Liu, Fawang 1 2017 Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian 25 2016 Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. Zbl 1382.65290Chen, Shiping; Liu, Fawang; Jiang, X.; Turner, Ian; Burrage, Kevin 25 2016 Finite element method for space-time fractional diffusion equation. Zbl 1343.65122Feng, L. B.; Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Gu, Yuan Tong 24 2016 Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo 24 2016 A high-order spectral method for the multi-term time-fractional diffusion equations. Zbl 1459.65205Zheng, M.; Liu, F.; Anh, V.; Turner, I. 17 2016 Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid. Zbl 1398.35277Ming, Chunying; Liu, Fawang; Zheng, Liancun; Turner, Ian; Anh, Vo 17 2016 An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation. Zbl 1343.65110Hu, Xiuling; Liu, Fawang; Turner, Ian; Anh, Vo 12 2016 The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option. Zbl 07160219Zhang, H.; Liu, F.; Turner, I.; Chen, S. 9 2016 Numerical solution of the time fractional Black-Scholes model governing European options. Zbl 1443.91335Zhang, H.; Liu, F.; Turner, I.; Yang, Q. 5 2016 Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Zbl 07163050Zhao, Y. M.; Zhang, Y. D.; Liu, F.; Turner, I.; Shi, D. Y. 4 2016 Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux. Zbl 1458.76095Liu, Lin; Zheng, Liancun; Liu, Fawang; Zhang, Xinxin 3 2016 Lie group analysis and similarity solution for fractional Blasius flow. Zbl 07247592Pan, Mingyang; Zheng, Liancun; Liu, Fawang; Zhang, Xinxin 2 2016 Modeling heat transport in nanofluids with stagnation point flow using fractional calculus. Zbl 07163303Pan, Mingyang; Zheng, Liancun; Liu, Fawang; Zhang, Xinxin 2 2016 An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach. Zbl 07162929Yuan, Z. B.; Nie, Y. F.; Liu, F.; Turner, I.; Zhang, G. Y.; Gu, Y. T. 2 2016 Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 84 2015 A novel high order space-time spectral method for the time fractional Fokker-Planck equation. Zbl 1320.82052Zheng, Minling; Liu, Fawang; Turner, Ian; Anh, Vo 79 2015 A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain. Zbl 1349.65316Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.; Burrage, K. 59 2015 Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. Zbl 1349.65353Ye, H.; Liu, Fawang; Anh, V. 49 2015 Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. Zbl 1339.65144Feng, L. B.; Zhuang, P.; Liu, Fawang; Turner, I. 37 2015 A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation. Zbl 1339.65132Liu, Q.; Liu, F.; Gu, Y. T.; Zhuang, P.; Chen, Jinghua; Turner, I. 37 2015 Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains. Zbl 1337.65120Ye, H.; Liu, Fawang; Anh, V.; Turner, I. 36 2015 Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations. Zbl 1380.65188Wang, Xue Bin; Liu, Fawang; Chen, X. 28 2015 A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Zbl 1339.65104Chen, S.; Liu, Fawang; Jiang, X.; Turner, I.; Anh, V. 25 2015 High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. Zbl 1304.65202Chen, S.; Jiang, X.; Liu, F.; Turner, I. 20 2015 Numerical simulation of anomalous infiltration in porous media. Zbl 1310.76121Shen, S.; Liu, Fawang; Liu, Q.; Anh, Vo V. 9 2015 A center box method for radially symmetric solution of fractional subdiffusion equation. Zbl 1339.65120Hu, Xiuling; Liao, Hong-Lin; Liu, F.; Turner, I. 5 2015 A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V. 137 2014 A new fractional finite volume method for solving the fractional diffusion equation. Zbl 1429.65213Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V. 62 2014 Stability and convergence of a finite volume method for the space fractional advection-dispersion equation. Zbl 1291.65280Hejazi, H.; Moroney, T.; Liu, F. 44 2014 A RBF meshless approach for modeling a fractal mobile/immobile transport model. Zbl 1354.65204Liu, Q.; Liu, F.; Turner, I.; Anh, V.; Gu, Y. T. 34 2014 Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Zbl 1334.65143Zhang, Hongmei; Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V. 33 2014 Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations. Zbl 1364.35428Ye, H.; Liu, Fawang; Anh, V.; Turner, I. 32 2014 A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1408.65057Song, J.; Yu, Q.; Liu, F.; Turner, I. 22 2014 A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J. 22 2014 Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation. Zbl 1429.65233Zhuang, P.; Liu, F.; Turner, I.; Gu, Y. T. 21 2014 Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1369.35105Chen, S.; Liu, F.; Burrage, K. 21 2014 A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations. Zbl 1429.65215Yang, Qianqian; Turner, Ian; Moroney, Timothy; Liu, Fawang 19 2014 Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Zbl 1362.35319Chen, S.; Liu, F.; Burrage, K. 18 2014 Numerical simulation of the fractional Bloch equations. Zbl 1291.65224Yu, Q.; Liu, F.; Turner, I.; Burrage, K. 12 2014 Numerical simulation for the three-dimension fractional sub-diffusion equation. Zbl 1429.65179Chen, J.; Liu, F.; Liu, Q.; Chen, X.; Anh, V.; Turner, I.; Burrage, K. 9 2014 Numerical methods for solving the multi-term time-fractional wave-diffusion equation. Zbl 1312.65138Liu, Fawang; Meerschaert, Mark; McGough, Robert; Zhuang, Pinghui; Liu, Qingxia 146 2013 The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian 125 2013 A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model. Zbl 1350.65092Zhang, H.; Liu, F.; Phanikumar, Mantha S.; Meerschaert, Mark M. 70 2013 A characteristic difference method for the variable-order fractional advection-diffusion equation. Zbl 1296.65114Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J. 27 2013 An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118Chen, S.; Liu, Fawang; Turner, I.; Anh, V. 25 2013 Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1339.65151Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin 22 2013 Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation. Zbl 1278.65121Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.; Chen, Y. 16 2013 The fundamental solutions for multi-term modified power law wave equations in a finite domain. Zbl 1432.35005Jiang, H.; Liu, F.; Meerschaert, M. M.; McGough, R. J.; Liu, Q. 10 2013 Some novel techniques of parameter estimation for dynamical models in biological systems. Zbl 1402.92203Liu, F.; Burrage, K.; Hamilton, N. A. 9 2013 A numerical investigation of the time distributed-order diffusion model. Zbl 1390.65133Hu, Xiuling; Liu, Fawang; Anh, Vo; Turner, Ian 6 2013 Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative. Zbl 1330.76092Chen, Chang-Ming; Liu, F.; Burrage, K.; Chen, Y. 6 2013 Numerical techniques for simulating a fractional mathematical model of epidermal wound healing. Zbl 1325.92043Chen, J.; Liu, F.; Burrage, K.; Shen, S. 3 2013 ...and 88 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 all top 5 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) Citations by Year