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Turner, Ian William

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Author ID: turner.ian-william Recent zbMATH articles by "Turner, Ian William"
Published as: Turner, I.; Turner, Ian; Turner, I. W.; Turner, Ian W.; Turner, Ian William; Turner, Ian. W.
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Co-Authors

1 single-authored
114 Liu, Fawang
59 Anh, Vo V.
21 Burrage, Kevin
18 Zhuang, Pinghui
15 Feng, Libo
15 Ilić, Miloš
13 Yang, Qianqian
11 Yu, Qiang
10 Carr, Elliot Joseph
10 Perré, Patrick
9 Zeng, Fanhai
8 Chen, Changming
8 Jiang, Xiaoyun
8 Vegh, Viktor
7 Belward, John Alan
7 Gu, Yuantong
6 Chen, Jinghua
6 Moroney, Timothy J.
6 Shen, Shujun
5 Chen, Shanzhen
4 Ferguson, W. J.
4 Hu, Xiuling
4 Jayantha, Pasdunkorale A.
4 Oqielat, Moa’ath Nasser
4 Zhang, Hongmei
3 Li, Changpin
3 Li, Jing
3 Qin, Shanlin
3 Zhao, Yanmin
3 Zheng, Minling
2 Bajracharya, K.
2 Fan, Wenping
2 Karniadakis, George Em
2 Kempthorne, Daryl Matthew
2 McCue, Scott William
2 Nie, Yufeng
2 Pettitt, Anthony N.
2 Shi, Dongyang
2 Simpson, Daniel Peter
2 Song, Jiqian
2 Su, Ninghu
2 Truscott, Simon L.
2 Yang, Shuiping
2 Zhang, Mengchen
2 Zhang, Yadong
2 Zheng, Liancun
1 Ahn, Vo
1 An, Xingyu
1 Arunakumaren, N.
1 Burrage, Pamela M.
1 Chen, Shiping
1 Cumming, Ben
1 Cusimano, Nicole
1 Denham, Robert
1 Drovandi, Christopher C.
1 Du, Huan
1 Farquhar, Megan E.
1 Farrell, Troy
1 Foy, Brody H.
1 Frazier, David T.
1 Gao, Xinghua
1 Guo, Ling
1 Hassard, Patrick
1 Huxley, W. J.
1 Lester, Daniel R.
1 Li, Hong
1 Li, Lang
1 Li, Tao
1 Li, Yuanlu
1 Liao, HongLin
1 Lin, Ran
1 Liu, Qingxia
1 Liu, Quansheng
1 Liu, Yang
1 Mallet, Dann G.
1 March, Nathan G.
1 Mcelwain, D. L. Sean
1 Mengersen, Kerrie L.
1 Ming, Chunying
1 Moroney, Timothy John
1 Pethiyagoda, Ravindra
1 Priddle, Jacob W.
1 Rémond, Romain
1 Rousset, Patrick
1 Saad, Yousef
1 Shi, Yanhua
1 Sisson, Scott A.
1 Sizgek, D.
1 Sizgek, E.
1 Strickland, Chris M.
1 Tang, Yifa
1 Thackham, Jennifer A.
1 Tieng, Quang Minh
1 Wang, Fenling
1 Wang, Yajun
1 Whebell, Riley M.
1 Wright, Stephen J.
1 Yang, Zongze
1 Yarlagadda, Prasad K. D. V.
1 Yin, Baoli
...and 3 more Co-Authors
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Serials

31 Applied Mathematical Modelling
26 The ANZIAM Journal
18 Applied Mathematics and Computation
12 Computers & Mathematics with Applications
12 Journal of Computational and Applied Mathematics
11 Journal of Computational Physics
10 SIAM Journal on Scientific Computing
8 Numerical Algorithms
5 IMA Journal of Applied Mathematics
5 Communications in Nonlinear Science and Numerical Simulation
4 International Journal for Numerical Methods in Engineering
4 SIAM Journal on Numerical Analysis
4 Fractional Calculus & Applied Analysis
4 Journal of Applied Mathematics and Computing
3 International Journal of Heat and Mass Transfer
3 Applied Numerical Mathematics
2 Numerical Linear Algebra with Applications
1 IMA Journal of Numerical Analysis
1 Journal of Mathematical Analysis and Applications
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 BIT
1 Mathematics and Computers in Simulation
1 Journal of Computational Mathematics
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 Journal of Applied Mathematics and Stochastic Analysis
1 Computational Statistics and Data Analysis
1 Systems Analysis, Modelling Simulation
1 International Journal of Numerical Methods for Heat & Fluid Flow
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 Multiscale Modeling & Simulation
1 Journal of Algorithms & Computational Technology
1 International Journal of Differential Equations
1 Journal of Computational and Graphical Statistics
1 Axioms

Publications by Year

Citations contained in zbMATH Open

162 Publications have been cited 5,440 times in 2,327 Documents Cited by Year
Numerical solution of the space fractional Fokker-Planck equation. Zbl 1036.82019
Liu, Fawang; Anh, V.; Turner, I.
366
2004
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives. Zbl 1185.65200
Yang, Q.; Liu, Fawang; Turner, I.
269
2010
Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. Zbl 1204.26013
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
267
2009
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Zbl 1193.76093
Liu, Fawang; Zhuang, P.; Anh, V.; Turner, I.; Burrage, K.
264
2007
New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
212
2008
A Fourier method for the fractional diffusion equation describing sub-diffusion. Zbl 1165.65053
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.
185
2007
A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349
Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V.
185
2014
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.
145
2010
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
145
2013
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.
140
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
121
2011
Time fractional advection-dispersion equation. Zbl 1068.26006
Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P.
114
2003
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
108
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
100
2015
Numerical approximation of a fractional-in-space diffusion equation. I. Zbl 1126.26009
Ilic, M.; Liu, Fawang; Turner, I.; Anh, V.
100
2005
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.
89
2006
A new fractional finite volume method for solving the fractional diffusion equation. Zbl 1429.65213
Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V.
88
2014
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.
87
2012
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.
84
2012
Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089
Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V.
84
2012
Finite element approximation for a modified anomalous subdiffusion equation. Zbl 1221.65257
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
73
2011
Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method. Zbl 1112.65006
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
72
2007
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.
68
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.
67
2008
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
55
2010
Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Zbl 1241.65077
Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I.
55
2012
Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method. Zbl 1242.76262
Zhuang, P.; Gu, Y. T.; Liu, Fawang; Turner, I.; Yarlagadda, P. K. D. V.
52
2011
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.
46
2015
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
46
2017
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.
46
2014
A novel finite volume method for the Riesz space distributed-order diffusion equation. Zbl 1384.65059
Li, J.; Liu, F.; Feng, L.; Turner, I.
45
2017
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.
45
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.
43
2015
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.
43
2014
A stable fast time-stepping method for fractional integral and derivative operators. Zbl 1406.65047
Zeng, Fanhai; Turner, Ian; Burrage, Kevin
41
2018
A high-order spectral method for the multi-term time-fractional diffusion equations. Zbl 1459.65205
Zheng, M.; Liu, F.; Anh, V.; Turner, I.
40
2016
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.
37
2009
Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Zbl 1334.65143
Zhang, Hongmei; Liu, Fawang; Zhuang, P.; Turner, I.; Anh, V.
36
2014
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.
36
2011
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.
36
2017
Numerical simulation for solute transport in fractal porous media. Zbl 1123.76363
Liu, Fawang; Anh, V.; Turner, I.; Zhuang, P.
35
2004
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
33
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.
32
2015
Finite element method for space-time fractional diffusion equation. Zbl 1343.65122
Feng, L. B.; Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Gu, Yuan Tong
32
2016
A characteristic difference method for the variable-order fractional advection-diffusion equation. Zbl 1296.65114
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J.
32
2013
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
31
2016
Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation. Zbl 1082.60511
Liu, Fawang; Shen, S.; Anh, V.; Turner, I.
31
2005
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.
29
2012
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
29
2014
An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118
Chen, S.; Liu, Fawang; Turner, I.; Anh, V.
28
2013
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.
28
2011
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. Zbl 1304.65202
Chen, S.; Jiang, X.; Liu, F.; Turner, I.
28
2015
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.
27
2014
Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125
Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo
26
2016
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.
26
2017
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.
26
2014
Numerical simulation for the 3D seepage flow with fractional derivatives in porous media. Zbl 1169.76427
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
24
2009
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
24
2018
Numerical solution of the time fractional Black-Scholes model governing European options. Zbl 1443.91335
Zhang, H.; Liu, F.; Turner, I.; Yang, Q.
24
2016
A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J.
23
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
22
2013
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
22
2016
The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option. Zbl 1465.91131
Zhang, H.; Liu, F.; Turner, I.; Chen, S.
20
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.
20
2013
Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. Zbl 1464.65119
Feng, Libo; Liu, Fawang; Turner, Ian
20
2019
Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. Zbl 1480.65253
Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui
19
2018
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.
19
2008
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
18
2016
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.
18
2017
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
18
2018
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
17
2017
A finite volume method based on radial basis functions for two-dimensional nonlinear diffusion equations. Zbl 1099.65114
Moroney, T. J.; Turner, I. W.
14
2006
A second order control-volume finite-element least-squares strategy for simulating diffusion in strongly anisotropic media. Zbl 1309.74074
Jayantha, Pasdunkorale A.; Turner, Ian W.
14
2005
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.
14
2014
A restarted Lanczos approximation to functions of a symmetric matrix. Zbl 1220.65052
Ilić, M.; Turner, I. W.; Simpson, D. P.
14
2010
Numerical simulation of the fractional Bloch equations. Zbl 1291.65224
Yu, Q.; Liu, F.; Turner, I.; Burrage, K.
14
2014
An unstructured mesh finite element method for solving the multi-term time fractional and Riesz space distributed-order wave equation on an irregular convex domain. Zbl 1481.65190
Shi, Y. H.; Liu, F.; Zhao, Y. M.; Wang, F. L.; Turner, I.
13
2019
A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation. Zbl 1162.65015
Ilić, M.; Turner, I. W.; Anh, V.
13
2008
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Zbl 1452.76227
Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin
13
2021
A three-dimensional finite volume method based on radial basis functions for the accurate computational modelling of nonlinear diffusion equations. Zbl 1122.65113
Moroney, T. J.; Turner, I. W.
12
2007
A second-order finite volume technique for simulating transport in anisotropic media. Zbl 1123.76345
Jayantha, Pasdunkorale A.; Turner, Ian W.
12
2003
Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions. Zbl 1390.65093
Yang, Qianqian; Moroney, Tim; Burrage, Kevin; Turner, Ian; Liu, Fawang
12
2010
Time-fractional diffusion equation for signal smoothing. Zbl 1426.94055
Li, Yuanlu; Liu, Fawang; Turner, Ian W.; Li, Tao
12
2018
A numerical investigation of the time distributed-order diffusion model. Zbl 1390.65133
Hu, Xiuling; Liu, Fawang; Anh, Vo; Turner, Ian
11
2013
A numerical method for the fractional FitzHugh-Nagumo monodomain model. Zbl 1390.65074
Liu, Fawang; Turner, Ian; Ahn, Vo; Yang, Qianqian; Burrage, Kevin
11
2012
A new class of semi-implicit methods with linear complexity for nonlinear fractional differential equations. Zbl 1404.65105
Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em
11
2018
Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350
Guo, Ling; Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em
11
2019
Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term. Zbl 1203.82068
Yang, Qianqian; Liu, Fawang; Turner, Ian
11
2010
The fundamental and numerical solutions of the Riesz space-fractional reaction-dispersion equation. Zbl 1179.35029
Chen, J.; Liu, Fawang; Turner, I.; Anh, V.
11
2008
Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation. Zbl 1359.35099
Yang, Qianqian; Turner, Ian; Liu, Fawang
11
2009
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.
11
2018
Computational approaches to solving equations arising from wound healing. Zbl 1171.92027
Thackham, Jennifer A.; McElwain, D. L. Sean; Turner, Ian W.
10
2009
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
10
2018
Detailed analysis of a conservative difference approximation for the time fractional diffusion equation. Zbl 1111.65115
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.
10
2006
An unstructured mesh finite volume method for modelling saltwater intrusion into coastal aquifers. Zbl 1002.76074
Liu, Fawang; Turner, I.; Anh, V.
9
2002
Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium. Zbl 1193.65168
Ilic, M.; Turner, I. W.; Liu, Fawang; Anh, V.
9
2010
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.
8
2018
A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers. Zbl 1471.74014
Carr, Elliot J.; Turner, I. W.
8
2016
Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Zbl 1471.65156
Zhao, Y. M.; Zhang, Y. D.; Liu, F.; Turner, I.; Shi, D. Y.
8
2016
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.
8
2018
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. Zbl 07389250
Zhang, Hui; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian
5
2022
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Zbl 1452.76227
Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin
13
2021
A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients. Zbl 1460.65110
Yang, Shuiping; Liu, Fawang; Feng, Libo; Turner, Ian
2
2021
A space-time spectral method for time-fractional Black-Scholes equation. Zbl 1466.91320
An, Xingyu; Liu, Fawang; Zheng, Minling; Anh, Vo V.; Turner, Ian W.
2
2021
A finite volume method for the two-dimensional time and space variable-order fractional Bloch-Torrey equation with variable coefficients on irregular domains. Zbl 07384083
Zhang, Mengchen; Liu, Fawang; Turner, Ian W.; Anh, Vo V.; Feng, Libo
1
2021
A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media. Zbl 1481.74636
March, Nathan G.; Carr, Elliot J.; Turner, Ian W.
1
2021
An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains. Zbl 07143627
Feng, Libo; Liu, Fawang; Turner, Ian
7
2020
A novel finite element method for the distributed-order time fractional Cable equation in two dimensions. Zbl 1447.65072
Gao, Xinghua; Liu, Fawang; Li, Hong; Liu, Yang; Turner, Ian; Yin, Baoli
4
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
2
2020
An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains. Zbl 07505619
Yang, Zongze; Liu, Fawang; Nie, Yufeng; Turner, Ian
2
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.
1
2020
Modelling fungal growth with fractional transport models. Zbl 1444.65061
Du, Huan; Perré, Patrick; Turner, Ian
1
2020
Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation. Zbl 1452.65285
Zheng, Rumeng; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian W.
1
2020
Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. Zbl 1464.65119
Feng, Libo; Liu, Fawang; Turner, Ian
20
2019
An unstructured mesh finite element method for solving the multi-term time fractional and Riesz space distributed-order wave equation on an irregular convex domain. Zbl 1481.65190
Shi, Y. H.; Liu, F.; Zhao, Y. M.; Wang, F. L.; Turner, I.
13
2019
Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350
Guo, Ling; Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em
11
2019
Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever. Zbl 1448.92317
Li, T.; Wang, Y.; Liu, F.; Turner, I.
3
2019
A stable fast time-stepping method for fractional integral and derivative operators. Zbl 1406.65047
Zeng, Fanhai; Turner, Ian; Burrage, Kevin
41
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
24
2018
Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. Zbl 1480.65253
Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui
19
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
18
2018
Time-fractional diffusion equation for signal smoothing. Zbl 1426.94055
Li, Yuanlu; Liu, Fawang; Turner, Ian W.; Li, Tao
12
2018
A new class of semi-implicit methods with linear complexity for nonlinear fractional differential equations. Zbl 1404.65105
Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em
11
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.
11
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
10
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.
8
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.
8
2018
Numerical inversion of the fractional derivative index and surface thermal flux for an anomalous heat conduction model in a multi-layer medium. Zbl 1480.35389
Chen, Shanzhen; Liu, Fawang; Turner, Ian; Hu, Xiuling
1
2018
An efficient boundary element formulation for doubly-periodic two-dimensional Stokes flow with pressure boundary conditions. Zbl 1395.76046
Hassard, Patrick; Turner, Ian; Farrell, Troy; Lester, Daniel
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 1364.65162
Fan, Wenping; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian
46
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.
45
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.
36
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.
26
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.
18
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
17
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.
5
2017
Macroscale modelling of multilayer diffusion: using volume averaging to correct the boundary conditions. Zbl 1446.74011
Carr, Elliot J.; Turner, I. W.; Perré, Patrick
4
2017
The meshfree finite volume method with application to multi-phase porous media models. Zbl 1375.76181
Foy, Brody H.; Perré, Patrick; Turner, Ian
3
2017
On reflecting boundary conditions for space-fractional equations on a finite interval: proof of the matrix transfer technique. Zbl 1443.35166
Cusimano, Nicole; Burrage, Kevin; Turner, I.; Kay, David
2
2017
A high-order spectral method for the multi-term time-fractional diffusion equations. Zbl 1459.65205
Zheng, M.; Liu, F.; Anh, V.; Turner, I.
40
2016
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334
Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian
33
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
32
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
31
2016
Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125
Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo
26
2016
Numerical solution of the time fractional Black-Scholes model governing European options. Zbl 1443.91335
Zhang, H.; Liu, F.; Turner, I.; Yang, Q.
24
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
22
2016
The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option. Zbl 1465.91131
Zhang, H.; Liu, F.; Turner, I.; Chen, S.
20
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
18
2016
A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers. Zbl 1471.74014
Carr, Elliot J.; Turner, I. W.
8
2016
Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Zbl 1471.65156
Zhao, Y. M.; Zhang, Y. D.; Liu, F.; Turner, I.; Shi, D. Y.
8
2016
An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach. Zbl 1471.65167
Yuan, Z. B.; Nie, Y. F.; Liu, F.; Turner, I.; Zhang, G. Y.; Gu, Y. T.
7
2016
GPU accelerated algorithms for computing matrix function vector products with applications to exponential integrators and fractional diffusion. Zbl 1382.65124
Farquhar, Megan E.; Moroney, Timothy J.; Yang, Qianqian; Turner, Ian W.
6
2016
The extended distributed microstructure model for gradient-driven transport: a two-scale model for bypassing effective parameters. Zbl 1373.76333
Carr, E. J.; Perré, P.; Turner, I. W.
6
2016
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
108
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
100
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.
68
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.
46
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.
45
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.
43
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.
32
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.
28
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.
5
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.
185
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.
88
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.
46
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.
43
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.
36
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
29
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.
27
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.
26
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.
23
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.
14
2014
Numerical simulation of the fractional Bloch equations. Zbl 1291.65224
Yu, Q.; Liu, F.; Turner, I.; Burrage, K.
14
2014
Two-scale computational modelling of water flow in unsaturated soils containing irregular-shaped inclusions. Zbl 1352.76110
Carr, E. J.; Turner, I. W.
5
2014
A comparison of techniques for the reconstruction of leaf surfaces from scanned data. Zbl 1310.65073
Kempthorne, Daryl M.; Turner, Ian W.; Belward, John A.
3
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
145
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.
32
2013
An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118
Chen, S.; Liu, Fawang; Turner, I.; Anh, V.
28
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
22
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.
20
2013
A numerical investigation of the time distributed-order diffusion model. Zbl 1390.65133
Hu, Xiuling; Liu, Fawang; Anh, Vo; Turner, Ian
11
2013
A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: application to wood drying. Zbl 1286.76110
Carr, E. J.; Turner, I. W.; Perré, P.
6
2013
A dual-scale modeling approach for drying hygroscopic porous media. Zbl 1267.76106
Carr, E. J.; Turner, I. W.; Perré, P.
4
2013
Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain. Zbl 1234.35300
Jiang, H.; Liu, F.; Turner, I.; Burrage, K.
87
2012
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.
84
2012
Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089
Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V.
84
2012
Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Zbl 1241.65077
Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I.
55
2012
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.
29
2012
A numerical method for the fractional FitzHugh-Nagumo monodomain model. Zbl 1390.65074
Liu, Fawang; Turner, Ian; Ahn, Vo; Yang, Qianqian; Burrage, Kevin
11
2012
The use of a Riesz fractional differential-based approach for texture enhancement in image processing. Zbl 1386.94018
Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin; Vegh, Viktor
7
2012
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
121
2011
Finite element approximation for a modified anomalous subdiffusion equation. Zbl 1221.65257
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
73
2011
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.
52
2011
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.
36
2011
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.
28
2011
Efficient simulation of unsaturated flow using exponential time integration. Zbl 1419.76494
Carr, E. J.; Moroney, T. J.; Turner, I. W.
5
2011
A mass-conservative control volume-finite element method for solving Richards’ equation in heterogeneous porous media. Zbl 1287.76170
Cumming, Ben; Moroney, Tim; Turner, Ian
5
2011
Modelling water droplet movement on a leaf surface. Zbl 1316.76012
Oqielat, Moa’ath N.; Turner, Ian W.; Belward, John A.; McCue, Scott W.
4
2011
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives. Zbl 1185.65200
Yang, Q.; Liu, Fawang; Turner, I.
269
2010
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.
145
2010
...and 62 more Documents
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Cited by 2,506 Authors

152 Liu, Fawang
109 Turner, Ian William
66 Wang, Hong
61 Anh, Vo V.
43 Sun, Zhizhong
38 Dehghan Takht Fooladi, Mehdi
35 Jiang, Xiaoyun
34 Abbaszadeh, Mostafa
34 Liu, Yang
33 Băleanu, Dumitru I.
33 Deng, Weihua
33 Li, Changpin
32 Zheng, Xiangcheng
31 Sun, Haiwei
30 Li, Hong
28 Burrage, Kevin
26 Xu, Da
25 Tang, Yifa
23 Atangana, Abdon
23 Zeng, Fanhai
22 Feng, Libo
22 Huang, Chengming
22 Karniadakis, George Em
21 Heydari, Mohammad Hossien
21 Zaky, Mahmoud A.
20 Macías-Díaz, Jorge Eduardo
20 Sun, Hongguang
20 Zhuang, Pinghui
19 Bhrawy, Ali Hassan
19 Fu, Hongfei
19 Li, Xiaoli
19 Wei, LeiLei
18 Avazzadeh, Zakieh
18 Lu, Shujuan
17 Bu, Weiping
17 Chen, Changming
17 Ding, Hengfei
17 Gao, Guanghua
17 Gu, Xian-Ming
17 Yan, Yubin
17 Zhao, Yanmin
16 Mohebbi, Akbar
16 Owolabi, Kolade Matthew
16 Vong, Seakweng
15 Khaliq, Abdul Q. M.
15 Lei, Siulong
15 Machado, José António Tenreiro
15 Meerschaert, Mark Marvin
15 Wang, Zhibo
15 Xiao, Aiguo
15 Yin, Baoli
15 Zhao, Yongliang
14 Hendy, Ahmed S.
14 Li, Meng
14 Mei, Liquan
14 Mustapha, Kassem
14 Sweilam, Nasser Hassan
14 Wang, Yuanming
13 Abdelkawy, Mohamed A.
13 Chen, Wen
13 Hao, Zhaopeng
13 Zhang, Xindong
13 Zheng, Liancun
12 Alikhanov, Anatoly A.
12 Cheng, Aijie
12 Huang, Ting-Zhu
12 Liu, Huan
12 Nie, Yufeng
12 Rui, Hongxing
12 Wu, Guocheng
12 Wu, Yujiang
12 Yang, Qianqian
11 Chen, Hu
11 Chen, Shanzhen
11 Doha, Eid H.
11 Huang, Jianfei
11 Jia, Jinhong
11 Liao, HongLin
11 Liu, Zhengguang
11 Wang, Fenling
11 Wang, Jungang
11 Yang, Xuehua
11 Zhang, Haixiang
11 Zhang, Jiwei
10 Chen, Yangquan
10 Cui, Mingrong
10 Hosseininia, Masoumeh
10 Li, Dongfang
10 Liu, Qingxia
10 Ng, Michael Kwok-Po
10 Shen, Shujun
10 Wei, Ting
10 Zayernouri, Mohsen
10 Zhao, Jingjun
9 Chen, An
9 Chen, Jinghua
9 Chen, Minghua
9 Du, Ning
9 Ezz-Eldien, Samer S.
9 Gómez-Aguilar, José Francisco
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Cited in 235 Serials

182 Computers & Mathematics with Applications
163 Applied Mathematics and Computation
147 Journal of Computational Physics
123 Applied Numerical Mathematics
106 Journal of Computational and Applied Mathematics
95 Journal of Scientific Computing
93 Numerical Algorithms
78 Advances in Difference Equations
67 Applied Mathematical Modelling
64 Fractional Calculus & Applied Analysis
60 International Journal of Computer Mathematics
55 Computational and Applied Mathematics
45 Applied Mathematics Letters
43 Chaos, Solitons and Fractals
41 Mathematics and Computers in Simulation
40 Communications in Nonlinear Science and Numerical Simulation
39 Engineering Analysis with Boundary Elements
31 SIAM Journal on Scientific Computing
31 Journal of Applied Mathematics and Computing
26 Numerical Methods for Partial Differential Equations
22 Mathematical Problems in Engineering
22 Abstract and Applied Analysis
20 SIAM Journal on Numerical Analysis
19 Advances in Computational Mathematics
19 Advances in Mathematical Physics
18 Nonlinear Dynamics
18 Advances in Applied Mathematics and Mechanics
18 International Journal of Applied and Computational Mathematics
18 Communications on Applied Mathematics and Computation
16 Computer Methods in Applied Mechanics and Engineering
16 East Asian Journal on Applied Mathematics
15 Physica A
15 Inverse Problems in Science and Engineering
14 Journal of Function Spaces
13 Mathematical Methods in the Applied Sciences
13 BIT
13 Fractals
13 AIMS Mathematics
10 Discrete Dynamics in Nature and Society
10 Discrete and Continuous Dynamical Systems. Series B
9 Applicable Analysis
9 Discrete and Continuous Dynamical Systems. Series S
8 Journal of Nonlinear Science and Applications
7 Mathematics of Computation
7 Calcolo
7 Computational Mechanics
7 SIAM Journal on Matrix Analysis and Applications
7 International Journal of Numerical Methods for Heat & Fluid Flow
7 Chaos
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Mathematical Modelling of Natural Phenomena
6 Numerische Mathematik
6 Journal of Vibration and Control
6 Taiwanese Journal of Mathematics
6 Computational Methods in Applied Mathematics
6 Journal of Applied Mathematics
6 Communications in Computational Physics
6 Science China. Mathematics
5 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Physics
5 Numerical Functional Analysis and Optimization
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Complexity
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5 Boundary Value Problems
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 International Journal of Differential Equations
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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4 Journal of the Franklin Institute
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4 International Journal of Applied Mathematics and Computer Science
4 The ANZIAM Journal
4 Nonlinear Analysis. Modelling and Control
4 Mathematical Modelling and Analysis
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Numerical Mathematics: Theory, Methods and Applications
4 International Journal of Biomathematics
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4 Fractional Differential Calculus
4 Electronic Research Archive
3 Computer Physics Communications
3 Journal of Statistical Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 International Journal for Numerical Methods in Engineering
3 Journal of Computational Mathematics
3 SIAM Journal on Applied Mathematics
3 ETNA. Electronic Transactions on Numerical Analysis
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Nonlinear Analysis. Real World Applications
3 Waves in Random and Complex Media
3 S\(\vec{\text{e}}\)MA Journal
3 Evolution Equations and Control Theory
3 Open Mathematics
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Cited in 43 Fields

1,839 Numerical analysis (65-XX)
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53 Classical thermodynamics, heat transfer (80-XX)
50 Operator theory (47-XX)
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33 Calculus of variations and optimal control; optimization (49-XX)
33 Systems theory; control (93-XX)
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