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Turner, Ian William

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.
Homepage: https://www.qut.edu.au/about/our-people/academic-profiles/i.turner
External Links: ORCID · Wikidata · Google Scholar · ResearchGate · dblp
all top 5

Co-Authors

1 single-authored
118 Liu, Fawang
60 Anh, Vo V.
25 Burrage, Kevin
19 Zhuang, Pinghui
18 Feng, Libo
15 Ilić, Miloš
14 Yang, Qianqian
12 Perré, Patrick
12 Yu, Qiang
11 Carr, Elliot Joseph
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
5 Liu, Qingxia
4 Ferguson, W. J.
4 Hu, Xiuling
4 Jayantha, Pasdunkorale A.
4 Li, Jing
4 McCue, Scott William
4 Oqielat, Moa’ath Nasser
3 Li, Changpin
3 Qin, Shanlin
3 Zhang, Yadong
3 Zhao, Huawei
3 Zhao, Yanmin
3 Zheng, Minling
2 An, Xingyu
2 Bajracharya, K.
2 Burrage, Pamela M.
2 Fan, Wenping
2 Farquhar, Megan E.
2 Foy, Brody H.
2 Jiang, Hui
2 Karniadakis, George Em
2 Kempthorne, Daryl Matthew
2 Nie, Yufeng
2 Pethiyagoda, Ravindra
2 Pettitt, Anthony N.
2 Shi, Dongyang
2 Simpson, Daniel Peter
2 Song, Jiqian
2 Su, Ninghu
2 Truscott, Simon L.
2 Whebell, Riley M.
2 Yang, Shuiping
2 Zhang, Hongmei
2 Zhang, Hui
2 Zhang, Mengchen
2 Zheng, Liancun
1 Ahn, Vo
1 Arunakumaren, N.
1 Bueno-Orovio, Alfonso
1 Chen, Shiping
1 Chen, Yunkun
1 Cooper-White, Justin J.
1 Cumming, Ben
1 Cusimano, Nicole
1 Denham, Robert
1 Drovandi, Christopher C.
1 Du, Huan
1 Farrell, Troy
1 Frazier, David T.
1 Gao, Xinghua
1 Guo, Ling
1 Hassard, Patrick
1 Huxley, W. J.
1 King, John Robert
1 Kumar, Arvind
1 Lawson, Brodie A. J.
1 Lester, Daniel R.
1 Li, Hong
1 Li, Lang
1 Li, Tianzeng
1 Li, Yuanlu
1 Liao, HongLin
1 Lin, Ran
1 Liu, Quansheng
1 Liu, Yang
1 Lustri, Christopher J.
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 Oliver, Dylan J.
1 Priddle, Jacob W.
1 Quenjel, EL Houssaine
1 Rémond, Romain
1 Rousset, Patrick
1 Saad, Yousef
1 Shi, Yanhua
1 Sisson, Scott A.
...and 18 more Co-Authors
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Serials

31 Applied Mathematical Modelling
26 The ANZIAM Journal
18 Applied Mathematics and Computation
13 Computers & Mathematics with Applications
12 Journal of Computational Physics
12 Journal of Computational and Applied Mathematics
10 SIAM Journal on Scientific Computing
9 Numerical Algorithms
7 Communications in Nonlinear Science and Numerical Simulation
5 IMA Journal of Applied Mathematics
4 International Journal for Numerical Methods in Engineering
4 SIAM Journal on Numerical Analysis
4 Applied Numerical Mathematics
4 Fractional Calculus & Applied Analysis
4 Journal of Applied Mathematics and Computing
3 International Journal of Heat and Mass Transfer
2 Numerical Methods for Partial Differential Equations
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 Physica D
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

174 Publications have been cited 7,343 times in 3,156 Documents Cited by Year
Numerical solution of the space fractional Fokker-Planck equation. Zbl 1036.82019
Liu, Fawang; Anh, V.; Turner, I.
434
2004
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives. Zbl 1185.65200
Yang, Q.; Liu, Fawang; Turner, I.
351
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.
338
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.
336
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.
241
2008
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.
238
2014
A Fourier method for the fractional diffusion equation describing sub-diffusion. Zbl 1165.65053
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.
217
2007
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
214
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.
176
2009
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.
171
2010
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
157
2015
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
147
2011
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.
137
2014
Time fractional advection-dispersion equation. Zbl 1068.26006
Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P.
134
2003
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
133
2015
Numerical approximation of a fractional-in-space diffusion equation. I. Zbl 1126.26009
Ilic, M.; Liu, Fawang; Turner, I.; Anh, V.
126
2005
Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089
Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V.
118
2012
Numerical approximation of a fractional-in space diffusion equation. II. With nonhomogeneous boundary conditions. Zbl 1132.35507
Ilic, M.; Liu, F.; Turner, I.; Anh, V.
115
2006
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.
112
2012
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.
110
2012
A high-order spectral method for the multi-term time-fractional diffusion equations. Zbl 1459.65205
Zheng, M.; Liu, F.; Anh, V.; Turner, I.
100
2016
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.
81
2015
Finite element approximation for a modified anomalous subdiffusion equation. Zbl 1221.65257
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
79
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.
77
2007
The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.
76
2008
Numerical solution of the time fractional Black-Scholes model governing European options. Zbl 1443.91335
Zhang, H.; Liu, F.; Turner, I.; Yang, Q.
71
2016
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.
70
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.
70
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.
67
2017
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
62
2010
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.
60
2015
Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. Zbl 1241.65077
Chen, Chang-Ming; Liu, Fawang; Anh, V.; Turner, I.
59
2012
A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain. Zbl 1364.65162
Fan, Wenping; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian
59
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.
59
2014
Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. Zbl 1339.65144
Feng, L. B.; Zhuang, P.; Liu, Fawang; Turner, I.
58
2015
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.
57
2005
A stable fast time-stepping method for fractional integral and derivative operators. Zbl 1406.65047
Zeng, Fanhai; Turner, Ian; Burrage, Kevin
57
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
55
2018
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.
54
2014
Finite element method for space-time fractional diffusion equation. Zbl 1343.65122
Feng, L. B.; Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Gu, Yuan Tong
53
2016
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.
51
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.
51
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.
48
2014
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.
45
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.
44
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
43
2018
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
43
2019
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
43
2014
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.
42
2015
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.
41
2017
Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes first problem for a heated generalized second grade fluid. Zbl 1228.65207
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V.
40
2011
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
39
2018
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
39
2016
Numerical simulation for solute transport in fractal porous media. Zbl 1123.76363
Liu, Fawang; Anh, V.; Turner, I.; Zhuang, P.
38
2004
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.
38
2012
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.
38
2013
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
36
2016
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. Zbl 1304.65202
Chen, S.; Jiang, X.; Liu, F.; Turner, I.
35
2015
An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118
Chen, S.; Liu, Fawang; Turner, I.; Anh, V.
35
2013
Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125
Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo
35
2016
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.
33
2011
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
31
2016
Time-fractional diffusion equation for signal smoothing. Zbl 1426.94055
Li, Yuanlu; Liu, Fawang; Turner, Ian W.; Li, Tao
31
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
31
2017
A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J.
31
2014
Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350
Guo, Ling; Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em
29
2019
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.
29
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
29
2013
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.
28
2017
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.
26
2008
Numerical simulation for the 3D seepage flow with fractional derivatives in porous media. Zbl 1169.76427
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V.
26
2009
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.
26
2016
A numerical investigation of the time distributed-order diffusion model. Zbl 1390.65133
Hu, Xiuling; Liu, Fawang; Anh, Vo; Turner, Ian
26
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.
25
2013
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
25
2016
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.
25
2014
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.
24
2016
A restarted Lanczos approximation to functions of a symmetric matrix. Zbl 1220.65052
Ilić, M.; Turner, I. W.; Simpson, D. P.
23
2010
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.
23
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
22
2010
A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements. Zbl 1510.92116
Qin, Shanlin; Liu, Fawang; Turner, Ian W.
22
2018
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
22
2021
A numerical method for the fractional FitzHugh-Nagumo monodomain model. Zbl 1390.65074
Liu, Fawang; Turner, Ian; Ahn, Vo; Yang, Qianqian; Burrage, Kevin
21
2012
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
20
2020
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
20
2018
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.
18
2008
A finite volume method based on radial basis functions for two-dimensional nonlinear diffusion equations. Zbl 1099.65114
Moroney, T. J.; Turner, I. W.
17
2006
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
17
2012
A second-order finite volume technique for simulating transport in anisotropic media. Zbl 1123.76345
Jayantha, Pasdunkorale A.; Turner, Ian W.
16
2003
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.
15
2005
Numerical simulation of the fractional Bloch equations. Zbl 1291.65224
Yu, Q.; Liu, F.; Turner, I.; Burrage, K.
14
2014
The fundamental and numerical solutions of the Riesz space-fractional reaction-dispersion equation. Zbl 1179.35029
Chen, J.; Liu, Fawang; Turner, I.; Anh, V.
13
2008
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.
13
2007
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.
13
2016
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
13
2010
Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation. Zbl 1359.35099
Yang, Qianqian; Turner, Ian; Liu, Fawang
13
2009
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.
13
2018
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.
12
2010
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
12
2018
Numerical treatment for the fractional Fokker-Planck equation. Zbl 1334.82048
Zhuang, Pinghui; Liu, Fawang; Anh, Vo; Turner, Ian
12
2007
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects. Zbl 07662519
Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin
2
2023
Burgers’ equation in the complex plane. Zbl 1512.35386
VandenHeuvel, Daniel J.; Lustri, Christopher J.; King, John R.; Turner, Ian W.; McCue, Scott W.
2
2023
A study of distributed-order time fractional diffusion models with continuous distribution weight functions. Zbl 07779715
Yu, Qiang; Turner, Ian; Liu, Fawang; Moroney, Timothy
1
2023
A 3D face interpolated discretisation method for simulating anisotropic diffusive processes on meshes coming from wood morphology. Zbl 1528.65095
Quenjel, El-Houssaine; Perré, Patrick; Turner, Ian
1
2023
A meshfree radial basis function method for simulation of multi-dimensional conservation problems. Zbl 07777020
Foy, Brody H.; Burrage, Kevin; Turner, Ian
1
2023
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. Zbl 1500.65087
Zhang, Hui; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian
12
2022
The application of the distributed-order time fractional Bloch model to magnetic resonance imaging. Zbl 1510.94031
Yu, Qiang; Turner, Ian; Liu, Fawang; Vegh, Viktor
4
2022
Efficient Bayesian synthetic likelihood with whitening transformations. Zbl 07546459
Priddle, Jacob W.; Sisson, Scott A.; Frazier, David T.; Turner, Ian; Drovandi, Christopher
3
2022
An investigation of space distributed-order models for simulating anomalous transport in a binary medium. Zbl 1510.35253
Feng, Libo; Turner, Ian; Moroney, Timothy; Liu, Fawang
2
2022
A vertex-centred finite volume method for the 3D multi-term time and space fractional Bloch-Torrey equation with fractional Laplacian. Zbl 1503.65206
Zhang, Mengchen; Liu, Fawang; Turner, Ian W.; Anh, Vo V.
1
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
22
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.
6
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 1504.65188
Zhang, Mengchen; Liu, Fawang; Turner, Ian W.; Anh, Vo V.; Feng, Libo
6
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
5
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 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
20
2020
An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains. Zbl 1524.65454
Feng, Libo; Liu, Fawang; Turner, Ian
12
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
12
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.
6
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
3
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.
3
2020
Modelling fungal growth with fractional transport models. Zbl 1444.65061
Du, Huan; Perré, Patrick; Turner, Ian
2
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
43
2019
Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350
Guo, Ling; Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em
29
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.
23
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.
5
2019
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations. Zbl 1452.65284
Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Wright, Stephen J.
4
2019
A stable fast time-stepping method for fractional integral and derivative operators. Zbl 1406.65047
Zeng, Fanhai; Turner, Ian; Burrage, Kevin
57
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
55
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
43
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
39
2018
Time-fractional diffusion equation for signal smoothing. Zbl 1426.94055
Li, Yuanlu; Liu, Fawang; Turner, Ian W.; Li, Tao
31
2018
A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements. Zbl 1510.92116
Qin, Shanlin; Liu, Fawang; Turner, Ian W.
22
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
20
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.
13
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
12
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.
10
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
5
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
2
2018
On the analysis of mixed-index time fractional differential equation systems. Zbl 1432.34009
Burrage, Kevin; Burrage, Pamela; Turner, Ian; Zeng, Fanhai
1
2018
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.
70
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.
67
2017
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
59
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.
41
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
31
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.
28
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
11
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.
6
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
5
2017
The meshfree finite volume method with application to multi-phase porous media models. Zbl 1375.76181
Foy, Brody H.; Perré, Patrick; Turner, Ian
4
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.
100
2016
Numerical solution of the time fractional Black-Scholes model governing European options. Zbl 1443.91335
Zhang, H.; Liu, F.; Turner, I.; Yang, Q.
71
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
53
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.
45
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
39
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
36
2016
Galerkin finite element method and error analysis for the fractional cable equation. Zbl 1343.65125
Zhuang, Pinghui; Liu, Fawang; Turner, Ian; Anh, Vo
35
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
31
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.
26
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
25
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.
24
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.
13
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.
10
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.
9
2016
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
157
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
133
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.
81
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.
60
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.
58
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.
51
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.
42
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.
35
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.
8
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.
238
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.
137
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.
59
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.
54
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.
51
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.
48
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
43
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.
31
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.
29
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.
25
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.
6
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
214
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.
38
2013
An implicit numerical method for the two-dimensional fractional percolation equation. Zbl 1432.65118
Chen, S.; Liu, Fawang; Turner, I.; Anh, V.
35
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
29
2013
A numerical investigation of the time distributed-order diffusion model. Zbl 1390.65133
Hu, Xiuling; Liu, Fawang; Anh, Vo; Turner, Ian
26
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.
25
2013
A dual-scale modeling approach for drying hygroscopic porous media. Zbl 1267.76106
Carr, E. J.; Turner, I. W.; Perré, P.
6
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
Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089
Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V.
118
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.
112
2012
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.
110
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.
59
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.
38
2012
A numerical method for the fractional FitzHugh-Nagumo monodomain model. Zbl 1390.65074
Liu, Fawang; Turner, Ian; Ahn, Vo; Yang, Qianqian; Burrage, Kevin
21
2012
...and 74 more Documents
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Cited by 3,336 Authors

181 Liu, Fawang
126 Turner, Ian William
84 Wang, Hong
70 Anh, Vo V.
53 Liu, Yang
52 Li, Hong
49 Jiang, Xiaoyun
48 Sun, Zhizhong
46 Băleanu, Dumitru I.
45 Zheng, Xiangcheng
43 Dehghan Takht Fooladi, Mehdi
39 Deng, Weihua
39 Li, Changpin
38 Sun, Haiwei
37 Abbaszadeh, Mostafa
37 Heydari, Mohammad Hossein
37 Zaky, Mahmoud A.
36 Burrage, Kevin
34 Xu, Da
31 Feng, Libo
29 Karniadakis, George Em
29 Tang, Yifa
28 Zeng, Fanhai
27 Zhao, Yanmin
26 Atangana, Abdon
26 Avazzadeh, Zakieh
26 Hendy, Ahmed S.
25 Owolabi, Kolade Matthew
25 Zhuang, Pinghui
24 Huang, Chengming
24 Lu, Shujuan
23 Bhrawy, Ali Hassan
23 Fu, Hongfei
23 Wei, LeiLei
23 Zhang, Hui
22 Ding, Hengfei
22 Li, Xiaoli
22 Vong, Seakweng
22 Wang, Zhibo
21 Bu, Weiping
21 Gu, Xian-Ming
21 Machado, José António Tenreiro
21 Sun, Hongguang
21 Yan, Yubin
20 Chen, Wen
20 Lei, Siulong
20 Yin, Baoli
19 Mohebbi, Akbar
19 Zhao, Yongliang
18 Abdelkawy, Mohamed A.
18 Chen, Changming
18 Li, Meng
17 Doha, Eid H.
17 Gao, Guanghua
17 Khaliq, Abdul Q. M.
17 Meerschaert, Mark Marvin
17 Mei, Liquan
17 Wang, Fenling
17 Xiao, Aiguo
17 Zheng, Liancun
16 Liu, Qingxia
16 Razzaghi, Mohsen
16 Sweilam, Nasser Hassan
16 Wang, Jinfeng
16 Wei, Ting
15 Alikhanov, Anatoliĭ Alievich
15 Cheng, Aijie
15 Gómez-Aguilar, José Francisco
15 Mustapha, Kassem
15 Ordokhani, Yadollah
15 Qiao, Leijie
15 Wang, Yuanming
15 Wu, Guocheng
15 Yang, Xuehua
14 Chen, Hu
14 Chen, Shanzhen
14 Chen, Yanping
14 Ezz-Eldien, Samer S.
14 Huang, Jianfei
14 Jia, Jinhong
14 Liu, Zhengguang
14 Wu, Yujiang
14 Zhang, Haixiang
14 Zhang, Xindong
14 Zhang, Zhimin
13 Carr, Elliot Joseph
13 Hao, Zhaopeng
13 Hosseininia, Masoumeh
13 Huang, Ting-Zhu
13 Liu, Huan
13 Lyu, Pin
13 Nie, Yufeng
13 Singh, Vineet Kumar
13 Wang, Jungang
13 Yang, Qianqian
13 Zhang, Jiwei
13 Zheng, Guanghui
12 Cao, Wanrong
12 Chen, Yangquan
12 Cui, Mingrong
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Cited in 284 Serials

244 Computers & Mathematics with Applications
173 Applied Mathematics and Computation
161 Journal of Computational Physics
141 Applied Numerical Mathematics
126 Mathematical Methods in the Applied Sciences
122 Journal of Computational and Applied Mathematics
115 Journal of Scientific Computing
113 Numerical Algorithms
102 Numerical Methods for Partial Differential Equations
92 International Journal of Computer Mathematics
86 Applied Mathematical Modelling
81 Communications in Nonlinear Science and Numerical Simulation
81 Advances in Difference Equations
77 Fractional Calculus & Applied Analysis
74 Mathematics and Computers in Simulation
70 Computational and Applied Mathematics
54 Chaos, Solitons and Fractals
49 Engineering Analysis with Boundary Elements
48 Applied Mathematics Letters
40 Journal of Applied Mathematics and Computing
35 SIAM Journal on Scientific Computing
24 SIAM Journal on Numerical Analysis
24 Nonlinear Dynamics
22 Computer Methods in Applied Mechanics and Engineering
22 Mathematical Problems in Engineering
22 Abstract and Applied Analysis
21 Advances in Applied Mathematics and Mechanics
20 Physica A
20 Advances in Computational Mathematics
19 Advances in Mathematical Physics
19 International Journal of Applied and Computational Mathematics
19 Communications on Applied Mathematics and Computation
18 East Asian Journal on Applied Mathematics
17 Inverse Problems in Science and Engineering
17 Journal of Function Spaces
17 AIMS Mathematics
16 BIT
16 Fractals
14 Calcolo
13 Numerical Linear Algebra with Applications
13 Discrete and Continuous Dynamical Systems. Series S
12 Computer Physics Communications
12 SIAM Journal on Matrix Analysis and Applications
12 Discrete and Continuous Dynamical Systems. Series B
11 Computational Methods for Differential Equations
10 Applicable Analysis
10 Chaos
10 Discrete Dynamics in Nature and Society
10 Chinese Journal of Physics (Taipei)
9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 Computational Methods in Applied Mathematics
8 Inverse Problems
8 Computational Mechanics
8 International Journal of Nonlinear Sciences and Numerical Simulation
8 Networks and Heterogeneous Media
8 Journal of Nonlinear Science and Applications
8 Science China. Mathematics
8 Electronic Research Archive
7 Mathematics of Computation
7 Journal of Computational Mathematics
7 Physica D
7 International Journal of Numerical Methods for Heat & Fluid Flow
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Boundary Value Problems
7 Mathematical Modelling of Natural Phenomena
7 Mathematical Sciences
6 Journal of Mathematical Analysis and Applications
6 Numerische Mathematik
6 Journal of Vibration and Control
6 Taiwanese Journal of Mathematics
6 Journal of Applied Mathematics
6 Communications in Computational Physics
6 Numerical Mathematics: Theory, Methods and Applications
6 Journal of Mathematical Extension
6 Journal of Theoretical Biology
5 Computers and Fluids
5 Journal of the Franklin Institute
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5 Physics Letters. A
5 Numerical Functional Analysis and Optimization
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Complexity
5 Journal of Mathematical Chemistry
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Journal of Physics A: Mathematical and Theoretical
5 International Journal of Biomathematics
5 International Journal of Differential Equations
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Journal of Applied Analysis and Computation
5 Fractional Differential Calculus
5 Evolution Equations and Control Theory
4 Journal of Statistical Physics
4 Reports on Mathematical Physics
4 Computational Mathematics and Mathematical Physics
4 SIAM Journal on Applied Mathematics
4 Computational Statistics and Data Analysis
4 Journal of Inverse and Ill-Posed Problems
4 ETNA. Electronic Transactions on Numerical Analysis
4 Soft Computing
4 Journal of Inequalities and Applications
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Cited in 44 Fields

2,486 Numerical analysis (65-XX)
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