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Author ID: deng.weihua Recent zbMATH articles by "Deng, Weihua"
Published as: Deng, Weihua; Deng, Wei-Hua; Deng, WeiHua; Deng, W. H.
External Links: MGP
all top 5

Serials

13 Journal of Scientific Computing
8 Journal of Physics A: Mathematical and Theoretical
7 Computers & Mathematics with Applications
7 SIAM Journal on Numerical Analysis
5 Numerical Methods for Partial Differential Equations
4 Journal of Statistical Physics
4 Applied Numerical Mathematics
4 Applied Mathematics Letters
4 Advances in Computational Mathematics
3 BIT
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Numerical Mathematics: Theory, Methods and Applications
2 Modern Physics Letters B
2 Journal of Computational Physics
2 Physics Letters. A
2 Journal of Computational and Applied Mathematics
2 Journal of Computational Mathematics
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Fractals
2 Chaos
2 Discrete and Continuous Dynamical Systems. Series B
2 Multiscale Modeling & Simulation
2 Communications in Computational Physics
2 Communications in Theoretical Physics
2 Advances in Applied Mathematics and Mechanics
2 Science China. Mathematics
1 International Journal of Modern Physics B
1 International Journal of Systems Science
1 Mathematical Methods in the Applied Sciences
1 Mathematics of Computation
1 Applied Mathematics and Computation
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 SIAM Journal on Matrix Analysis and Applications
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 SIAM Journal on Mathematical Analysis
1 SIAM Journal on Scientific Computing
1 Journal of Inverse and Ill-Posed Problems
1 Nonlinear Dynamics
1 Fractional Calculus & Applied Analysis
1 Journal of Ningxia University. Natural Science Edition
1 Journal of the Physical Society of Japan
1 Journal of Systems Science and Complexity
1 Communications in Mathematical Sciences
1 Control and Decision
1 International Journal of Numerical Analysis and Modeling
1 Journal of Statistical Mechanics: Theory and Experiment
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
1 East Asian Journal on Applied Mathematics
1 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 3,271 times in 2,164 Documents Cited by Year
A class of second order difference approximations for solving space fractional diffusion equations. Zbl 1318.65058
Tian, Wenyi; Zhou, Han; Deng, Weihua
384
2015
Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115
Deng, Weihua; Li, Changpin; Lü, Jinhu
361
2007
Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344
Deng, Weihua
301
2009
Remarks on fractional derivatives. Zbl 1125.26009
Li, Changpin; Deng, Weihua
224
2007
Numerical algorithm for the time fractional Fokker-Planck equation. Zbl 1388.35095
Deng, Weihua
133
2007
Fourth order accurate scheme for the space fractional diffusion equations. Zbl 1318.65048
Chen, Minghua; Deng, Weihua
111
2014
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
109
2013
Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130
Zhou, Han; Tian, WenYi; Deng, Weihua
88
2013
Short memory principle and a predictor-corrector approach for fractional differential equations. Zbl 1121.65128
Deng, Weihua
86
2007
Finite difference/element method for a two-dimensional modified fractional diffusion equation. Zbl 1262.65108
Zhang, Na; Deng, Weihua; Wu, Yujiang
68
2012
Smoothness and stability of the solutions for nonlinear fractional differential equations. Zbl 1182.26009
Deng, Weihua
66
2010
Boundary problems for the fractional and tempered fractional operators. Zbl 1391.60104
Deng, Weihua; Li, Buyang; Tian, Wenyi; Zhang, Pingwen
62
2018
High order schemes for the tempered fractional diffusion equations. Zbl 1347.65136
Li, Can; Deng, Weihua
53
2016
Well-posedness and numerical algorithm for the tempered fractional differential equations. Zbl 1414.34005
Li, Can; Deng, Weihua; Zhao, Lijing
51
2019
Superlinearly convergent algorithms for the two-dimensional space-time Caputo-Riesz fractional diffusion equation. Zbl 1283.65082
Chen, Minghua; Deng, Weihua; Wu, Yujiang
43
2013
Synchronization of chaotic fractional Chen system. Zbl 1080.34537
Deng, Weihua; Li, Changpin
41
2005
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173
Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua
41
2017
Galerkin finite element approximations for stochastic space-time fractional wave equations. Zbl 1380.65017
Li, Yajing; Wang, Yejuan; Deng, Weihua
41
2017
Fourth order difference approximations for space Riemann-Liouville derivatives based on weighted and shifted Lubich difference operators. Zbl 1388.65130
Chen, Minghua; Deng, Weihua
39
2014
Discretized fractional substantial calculus. Zbl 1314.26007
Chen, Minghua; Deng, Weihua
38
2015
Local discontinuous Galerkin methods for fractional ordinary differential equations. Zbl 1344.65071
Deng, Weihua; Hesthaven, Jan S.
36
2015
A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation. Zbl 1427.65149
Chen, Minghua; Deng, Weihua
34
2014
High order algorithms for the fractional substantial diffusion equation with truncated Lévy flights. Zbl 1317.65198
Chen, Minghua; Deng, Weihua
32
2015
Polynomial spectral collocation method for space fractional advection-diffusion equation. Zbl 1287.65093
Tian, WenYi; Deng, Weihua; Wu, Yujiang
32
2014
A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives. Zbl 1332.65131
Zhao, Lijing; Deng, Weihua
31
2015
The evolution of chaotic dynamics for fractional unified system. Zbl 1217.37026
Deng, Weihua; Li, Changpin
28
2008
Analysis of fractional differential equations with multi-orders. Zbl 1176.34008
Deng, Weihua; Li, Changpin; Guo, Qian
28
2007
Jacobian-predictor-corrector approach for fractional differential equations. Zbl 1322.65079
Zhao, Lijing; Deng, Weihua
28
2014
Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system. Zbl 1209.37032
Deng, Weihua; Lü, Jinhu
27
2007
A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1361.65100
Chen, Minghua; Deng, Weihua
27
2017
Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes. Zbl 1349.65476
Qiu, Liangliang; Deng, Weihua; Hesthaven, Jan S.
27
2015
Chaos synchronization of fractional-order differential systems. Zbl 1101.37025
Li, Changpin; Deng, Weihua
24
2006
Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control. Zbl 1146.37316
Deng, Weihua; Lü, Jinhu
24
2006
Numerical algorithms for the forward and backward fractional Feynman-Kac equations. Zbl 1335.65069
Deng, Weihua; Chen, Minghua; Barkai, Eli
24
2015
High order finite difference WENO schemes for fractional differential equations. Zbl 1259.65128
Deng, Weihua; Du, Shanda; Wu, Yujiang
23
2013
Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation. Zbl 1301.35200
Chen, Minghua; Wang, Yantao; Cheng, Xiao; Deng, Weihua
22
2014
A Riesz basis Galerkin method for the tempered fractional Laplacian. Zbl 1402.65120
Zhang, Zhijiang; Deng, Weihua; Karniadakis, George Em
21
2018
Finite difference methods and their physical constraints for the fractional Klein-Kramers equation. Zbl 1233.65052
Deng, Weihua; Li, Can
19
2011
Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations. Zbl 1354.65174
Yu, Yanyan; Deng, Weihua; Wu, Yujiang; Wu, Jing
18
2017
Modeling anomalous diffusion. From statistics to mathematics. Zbl 1453.35001
Deng, Weihua; Hou, Ru; Wang, Wanli; Xu, Pengbo
18
2020
Positivity and boundedness preserving schemes for space-time fractional predator-prey reaction-diffusion model. Zbl 1443.65151
Yu, Yanyan; Deng, Weihua; Wu, Yujiang
18
2015
Numerical analysis and physical simulations for the time fractional radial diffusion equation. Zbl 1228.65144
Li, Can; Deng, Weihua; Wu, Yujiang
17
2011
Time discretization of a tempered fractional Feynman-Kac equation with measure data. Zbl 1405.65141
Deng, Weihua; Li, Buyang; Qian, Zhi; Wang, Hong
17
2018
High accuracy algorithm for the differential equations governing anomalous diffusion. Algorithm and models for anomalous diffusion. Zbl 1450.65001
Deng, Weihua; Zhang, Zhijiang
16
2019
High order finite difference methods on non-uniform meshes for space fractional operators. Zbl 1347.65130
Zhao, Lijing; Deng, Weihua
15
2016
Finite difference/predictor-corrector approximations for the space and time fractional Fokker-Planck equation. Zbl 1252.82073
Deng, Kaiying; Deng, Weihua
15
2012
Orthogonal spline collocation methods for the subdiffusion equation. Zbl 1291.65307
Li, Can; Zhao, Tinggang; Deng, Weihua; Wu, Yujiang
14
2014
A hybridized discontinuous Galerkin method for 2D fractional convection-diffusion equations. Zbl 1373.65073
Wang, Shuqin; Yuan, Jinyun; Deng, Weihua; Wu, Yujiang
14
2016
High order algorithm for the time-tempered fractional Feynman-Kac equation. Zbl 1395.65013
Chen, Minghua; Deng, Weihua
14
2018
Regularization methods for unknown source in space fractional diffusion equation. Zbl 1260.35246
Tian, Wenyi; Li, Can; Deng, Weihua; Wu, Yujiang
14
2012
Localization and ballistic diffusion for the tempered fractional Brownian-Langevin motion. Zbl 1397.82042
Chen, Yao; Wang, Xudong; Deng, Weihua
13
2017
Efficient numerical algorithms for three-dimensional fractional partial differential equations. Zbl 1313.65247
Deng, Weihua; Chen, Minghua
13
2014
Finite difference schemes for the tempered fractional Laplacian. Zbl 1449.65213
Zhang, Zhijiang; Deng, Weihua; Fan, Hongtao
12
2019
Stability analysis of differential equations with time-dependent delay. Zbl 1112.34056
Deng, Weihua; Wu, Yujiang; Li, Changpin
11
2006
Models for characterizing the transition among anomalous diffusions with different diffusion exponents. Zbl 1475.60151
Sandev, Trifce; Deng, Weihua; Xu, Pengbo
11
2018
Variational formulation and efficient implementation for solving the tempered fractional problems. Zbl 1407.82055
Deng, Weihua; Zhang, Zhijiang
10
2018
Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative. Zbl 1477.65049
Sun, Jing; Nie, Daxin; Deng, Weihua
10
2019
A new family of difference schemes for space fractional advection diffusion equation. Zbl 1499.65611
Li, Can; Deng, Weihua
8
2017
High-order quasi-compact difference schemes for fractional diffusion equations. Zbl 1453.65238
Yu, Yanyan; Deng, Weihua; Wu, Yujiang
7
2017
Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian. Zbl 07430400
Sun, Jing; Nie, Daxin; Deng, Weihua
7
2021
Anisotropic nonlocal diffusion operators for normal and anomalous dynamics. Zbl 1448.60192
Deng, Weihua; Wang, Xudong; Zhang, Pingwen
7
2020
Fractional compound Poisson processes with multiple internal states. Zbl 1405.35189
Xu, Pengbo; Deng, Weihua
7
2018
Scaling attractors of fractional differential systems. Zbl 1147.34042
Li, Changpin; Deng, Weihua; Chen, Guanrong
6
2006
Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation. Zbl 1397.65177
Chen, Minghua; Deng, Weihua; Serra-Capizzano, Stefano
6
2018
Generating 3D scroll grid attractors of fractional differential systems via stair function. Zbl 1149.37305
Deng, Weihua
6
2007
Convergence analysis of a multigrid method for a nonlocal model. Zbl 1373.65068
Chen, Minghua; Deng, Weihua
6
2017
Exact solutions and their asymptotic behaviors for the averaged generalized fractional elastic models. Zbl 1301.74008
Li, Can; Deng, Wei-Hua; Shen, Xiao-Qin
6
2014
Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces \(W^{m,p} (\Omega)\). Zbl 07445145
Zhao, Lijing; Deng, Weihua; Hesthaven, Jan S.
6
2021
Numerical schemes of the time tempered fractional Feynman-Kac equation. Zbl 1412.65071
Deng, W. H.; Zhang, Z. J.
6
2017
Tempered fractional Langevin-Brownian motion with inverse \(\beta\)-stable subordinator. Zbl 1411.82031
Chen, Yao; Wang, Xudong; Deng, Weihua
6
2018
Lévy walk with multiple internal states. Zbl 1403.60037
Xu, Pengbo; Deng, Weihua
6
2018
Numerical algorithm for the space-time fractional Fokker-Planck system with two internal states. Zbl 1451.65152
Nie, Daxin; Sun, Jing; Deng, Weihua
5
2020
Error estimates for backward fractional Feynman-Kac equation with non-smooth initial data. Zbl 1447.65092
Sun, Jing; Nie, Daxin; Deng, Weihua
5
2020
Positivity and boundedness preserving schemes for the fractional reaction-diffusion equation. Zbl 1292.65095
Yu, YanYan; Deng, WeiHua; Wu, YuJiang
5
2013
Resonant behavior of the generalized Langevin system with tempered Mittag-Leffler memory kernel. Zbl 1392.82044
Chen, Yao; Wang, Xudong; Deng, Weihua
5
2018
Stability of \(N\)-dimensional linear systems with multiple delays and application to synchronization. Zbl 1118.34070
Deng, Weihua; Lü, Jinhu; Li, Changpin
4
2006
Analytical solutions, moments, and their asymptotic behaviors for the time-space fractional cable equation. Zbl 1294.35188
Li, Can; Deng, Wei-Hua
4
2014
Numerical approaches to the functional distribution of anomalous diffusion with both traps and flights. Zbl 1380.65210
Zhang, Zhijiang; Deng, Weihua
4
2017
A unified convergence analysis for the fractional diffusion equation driven by fractional Gaussian noise with Hurst index \(H\in(0,1)\). Zbl 07556062
Nie, Daxin; Deng, Weihua
4
2022
Numerical approximation for fractional diffusion equation forced by a tempered fractional Gaussian noise. Zbl 07229474
Liu, Xing; Deng, Weihua
4
2020
Finite difference approximations and dynamics simulations for the Lévy fractional Klein-Kramers equation. Zbl 1312.65137
Li, Can; Deng, Weihua; Wu, Yujiang
4
2012
Discontinuous Galerkin methods and their adaptivity for the tempered fractional (convection) diffusion equations. Zbl 1474.65371
Wang, Xudong; Deng, Weihua
4
2020
A new sixth-order finite difference WENO scheme for fractional differential equations. Zbl 1468.65120
Zhang, Yan; Deng, Weihua; Zhu, Jun
4
2021
Numerical scheme for the Fokker-Planck equations describing anomalous diffusions with two internal states. Zbl 1444.76070
Nie, Daxin; Sun, Jing; Deng, Weihua
4
2020
Numerical algorithms of the two-dimensional Feynman-Kac equation for reaction and diffusion processes. Zbl 1452.65173
Nie, Daxin; Sun, Jing; Deng, Weihua
3
2019
Numerical algorithm for the model describing anomalous diffusion in expanding media. Zbl 1476.65246
Nie, Daxin; Sun, Jing; Deng, Weihua
3
2020
Galerkin finite element approximation for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise. Zbl 1524.35704
Li, Yajing; Wang, Yejuan; Deng, Weihua; Nie, Daxin
3
2022
Feynman-Kac transform for anomalous processes. Zbl 1481.60203
Chen, Zhen-Qing; Deng, Weihua; Xu, Pengbo
3
2021
Synchronization of limit sets. Zbl 1117.37019
Li, Changpin; Deng, Weihua
2
2007
Feynman-Kac equations for reaction and diffusion processes. Zbl 1390.35153
Hou, Ru; Deng, Weihua
2
2018
A finite-difference approximation for the one- and two-dimensional tempered fractional Laplacian. Zbl 1449.35453
Yan, Yaoqiang; Deng, Weihua; Nie, Daxin
2
2020
Effects of the tempered aging and the corresponding Fokker-Planck equation. Zbl 1348.82062
Deng, Weihua; Wang, Wanli; Tian, Xinchun; Wu, Yujiang
2
2016
Lévy walk with parameter dependent velocity: Hermite polynomial approach and numerical simulation. Zbl 1514.60061
Xu, Pengbo; Deng, Weihua; Sandev, Trifce
2
2020
Characteristic local discontinuous Galerkin methods for incompressible Navier-Stokes equations. Zbl 1488.65469
Wang, Shuqin; Deng, Weihua; Yuan, Jinyun; Wu, Yujiang
2
2017
Aging Feynman-Kac equation. Zbl 1390.60306
Wang, Wanli; Deng, Weihua
1
2018
Scaling Chen’s attractor. Zbl 1103.37021
Li, Changpin; Deng, Weihua
1
2006
Sharp error estimates for spatial-temporal finite difference approximations to fractional sub-diffusion equation without regularity assumption on the exact solution. Zbl 1522.65148
Nie, Daxin; Sun, Jing; Deng, Weihua
1
2023
Existence and regularity results for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise. Zbl 1527.35112
Li, Yajing; Wang, Yejuan; Deng, Weihua; Nie, Daxin
1
2023
Distribution of statistical observables for anomalous and nonergodic diffusions. From statistics to mathematics. Zbl 07517340
Deng, Weihua; Wang, Xudong; Nie, Daxin; Liu, Xing
1
2022
Numerical methods for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion. Zbl 1452.65166
Liu, Xing; Deng, Weihua
1
2020
Sharp error estimates for spatial-temporal finite difference approximations to fractional sub-diffusion equation without regularity assumption on the exact solution. Zbl 1522.65148
Nie, Daxin; Sun, Jing; Deng, Weihua
1
2023
Existence and regularity results for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise. Zbl 1527.35112
Li, Yajing; Wang, Yejuan; Deng, Weihua; Nie, Daxin
1
2023
A unified convergence analysis for the fractional diffusion equation driven by fractional Gaussian noise with Hurst index \(H\in(0,1)\). Zbl 07556062
Nie, Daxin; Deng, Weihua
4
2022
Galerkin finite element approximation for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise. Zbl 1524.35704
Li, Yajing; Wang, Yejuan; Deng, Weihua; Nie, Daxin
3
2022
Distribution of statistical observables for anomalous and nonergodic diffusions. From statistics to mathematics. Zbl 07517340
Deng, Weihua; Wang, Xudong; Nie, Daxin; Liu, Xing
1
2022
Lévy walk dynamics in non-static media. Zbl 1499.82038
Zhou, Tian; Xu, Pengbo; Deng, Weihua
1
2022
Classification of stochastic processes by convolutional neural networks. Zbl 1509.68213
AL-hada, Eman A.; Tang, Xiangong; Deng, Weihua
1
2022
Generalized diffusion and random search processes. Zbl 07604524
Zhou, Tian; Trajanovski, Pece; Xu, Pengbo; Deng, Weihua; Sandev, Trifce; Kocarev, Ljupco
1
2022
Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian. Zbl 07430400
Sun, Jing; Nie, Daxin; Deng, Weihua
7
2021
Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces \(W^{m,p} (\Omega)\). Zbl 07445145
Zhao, Lijing; Deng, Weihua; Hesthaven, Jan S.
6
2021
A new sixth-order finite difference WENO scheme for fractional differential equations. Zbl 1468.65120
Zhang, Yan; Deng, Weihua; Zhu, Jun
4
2021
Feynman-Kac transform for anomalous processes. Zbl 1481.60203
Chen, Zhen-Qing; Deng, Weihua; Xu, Pengbo
3
2021
Modeling anomalous diffusion. From statistics to mathematics. Zbl 1453.35001
Deng, Weihua; Hou, Ru; Wang, Wanli; Xu, Pengbo
18
2020
Anisotropic nonlocal diffusion operators for normal and anomalous dynamics. Zbl 1448.60192
Deng, Weihua; Wang, Xudong; Zhang, Pingwen
7
2020
Numerical algorithm for the space-time fractional Fokker-Planck system with two internal states. Zbl 1451.65152
Nie, Daxin; Sun, Jing; Deng, Weihua
5
2020
Error estimates for backward fractional Feynman-Kac equation with non-smooth initial data. Zbl 1447.65092
Sun, Jing; Nie, Daxin; Deng, Weihua
5
2020
Numerical approximation for fractional diffusion equation forced by a tempered fractional Gaussian noise. Zbl 07229474
Liu, Xing; Deng, Weihua
4
2020
Discontinuous Galerkin methods and their adaptivity for the tempered fractional (convection) diffusion equations. Zbl 1474.65371
Wang, Xudong; Deng, Weihua
4
2020
Numerical scheme for the Fokker-Planck equations describing anomalous diffusions with two internal states. Zbl 1444.76070
Nie, Daxin; Sun, Jing; Deng, Weihua
4
2020
Numerical algorithm for the model describing anomalous diffusion in expanding media. Zbl 1476.65246
Nie, Daxin; Sun, Jing; Deng, Weihua
3
2020
A finite-difference approximation for the one- and two-dimensional tempered fractional Laplacian. Zbl 1449.35453
Yan, Yaoqiang; Deng, Weihua; Nie, Daxin
2
2020
Lévy walk with parameter dependent velocity: Hermite polynomial approach and numerical simulation. Zbl 1514.60061
Xu, Pengbo; Deng, Weihua; Sandev, Trifce
2
2020
Numerical methods for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion. Zbl 1452.65166
Liu, Xing; Deng, Weihua
1
2020
Well-posedness and numerical algorithm for the tempered fractional differential equations. Zbl 1414.34005
Li, Can; Deng, Weihua; Zhao, Lijing
51
2019
High accuracy algorithm for the differential equations governing anomalous diffusion. Algorithm and models for anomalous diffusion. Zbl 1450.65001
Deng, Weihua; Zhang, Zhijiang
16
2019
Finite difference schemes for the tempered fractional Laplacian. Zbl 1449.65213
Zhang, Zhijiang; Deng, Weihua; Fan, Hongtao
12
2019
Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative. Zbl 1477.65049
Sun, Jing; Nie, Daxin; Deng, Weihua
10
2019
Numerical algorithms of the two-dimensional Feynman-Kac equation for reaction and diffusion processes. Zbl 1452.65173
Nie, Daxin; Sun, Jing; Deng, Weihua
3
2019
Central local discontinuous Galerkin method for the space fractional diffusion equation. Zbl 1442.65276
Sun, Jing; Nie, Daxin; Deng, Weihua
1
2019
Boundary problems for the fractional and tempered fractional operators. Zbl 1391.60104
Deng, Weihua; Li, Buyang; Tian, Wenyi; Zhang, Pingwen
62
2018
A Riesz basis Galerkin method for the tempered fractional Laplacian. Zbl 1402.65120
Zhang, Zhijiang; Deng, Weihua; Karniadakis, George Em
21
2018
Time discretization of a tempered fractional Feynman-Kac equation with measure data. Zbl 1405.65141
Deng, Weihua; Li, Buyang; Qian, Zhi; Wang, Hong
17
2018
High order algorithm for the time-tempered fractional Feynman-Kac equation. Zbl 1395.65013
Chen, Minghua; Deng, Weihua
14
2018
Models for characterizing the transition among anomalous diffusions with different diffusion exponents. Zbl 1475.60151
Sandev, Trifce; Deng, Weihua; Xu, Pengbo
11
2018
Variational formulation and efficient implementation for solving the tempered fractional problems. Zbl 1407.82055
Deng, Weihua; Zhang, Zhijiang
10
2018
Fractional compound Poisson processes with multiple internal states. Zbl 1405.35189
Xu, Pengbo; Deng, Weihua
7
2018
Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation. Zbl 1397.65177
Chen, Minghua; Deng, Weihua; Serra-Capizzano, Stefano
6
2018
Tempered fractional Langevin-Brownian motion with inverse \(\beta\)-stable subordinator. Zbl 1411.82031
Chen, Yao; Wang, Xudong; Deng, Weihua
6
2018
Lévy walk with multiple internal states. Zbl 1403.60037
Xu, Pengbo; Deng, Weihua
6
2018
Resonant behavior of the generalized Langevin system with tempered Mittag-Leffler memory kernel. Zbl 1392.82044
Chen, Yao; Wang, Xudong; Deng, Weihua
5
2018
Feynman-Kac equations for reaction and diffusion processes. Zbl 1390.35153
Hou, Ru; Deng, Weihua
2
2018
Aging Feynman-Kac equation. Zbl 1390.60306
Wang, Wanli; Deng, Weihua
1
2018
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173
Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua
41
2017
Galerkin finite element approximations for stochastic space-time fractional wave equations. Zbl 1380.65017
Li, Yajing; Wang, Yejuan; Deng, Weihua
41
2017
A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1361.65100
Chen, Minghua; Deng, Weihua
27
2017
Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations. Zbl 1354.65174
Yu, Yanyan; Deng, Weihua; Wu, Yujiang; Wu, Jing
18
2017
Localization and ballistic diffusion for the tempered fractional Brownian-Langevin motion. Zbl 1397.82042
Chen, Yao; Wang, Xudong; Deng, Weihua
13
2017
A new family of difference schemes for space fractional advection diffusion equation. Zbl 1499.65611
Li, Can; Deng, Weihua
8
2017
High-order quasi-compact difference schemes for fractional diffusion equations. Zbl 1453.65238
Yu, Yanyan; Deng, Weihua; Wu, Yujiang
7
2017
Convergence analysis of a multigrid method for a nonlocal model. Zbl 1373.65068
Chen, Minghua; Deng, Weihua
6
2017
Numerical schemes of the time tempered fractional Feynman-Kac equation. Zbl 1412.65071
Deng, W. H.; Zhang, Z. J.
6
2017
Numerical approaches to the functional distribution of anomalous diffusion with both traps and flights. Zbl 1380.65210
Zhang, Zhijiang; Deng, Weihua
4
2017
Characteristic local discontinuous Galerkin methods for incompressible Navier-Stokes equations. Zbl 1488.65469
Wang, Shuqin; Deng, Weihua; Yuan, Jinyun; Wu, Yujiang
2
2017
High order schemes for the tempered fractional diffusion equations. Zbl 1347.65136
Li, Can; Deng, Weihua
53
2016
High order finite difference methods on non-uniform meshes for space fractional operators. Zbl 1347.65130
Zhao, Lijing; Deng, Weihua
15
2016
A hybridized discontinuous Galerkin method for 2D fractional convection-diffusion equations. Zbl 1373.65073
Wang, Shuqin; Yuan, Jinyun; Deng, Weihua; Wu, Yujiang
14
2016
Effects of the tempered aging and the corresponding Fokker-Planck equation. Zbl 1348.82062
Deng, Weihua; Wang, Wanli; Tian, Xinchun; Wu, Yujiang
2
2016
A class of second order difference approximations for solving space fractional diffusion equations. Zbl 1318.65058
Tian, Wenyi; Zhou, Han; Deng, Weihua
384
2015
Discretized fractional substantial calculus. Zbl 1314.26007
Chen, Minghua; Deng, Weihua
38
2015
Local discontinuous Galerkin methods for fractional ordinary differential equations. Zbl 1344.65071
Deng, Weihua; Hesthaven, Jan S.
36
2015
High order algorithms for the fractional substantial diffusion equation with truncated Lévy flights. Zbl 1317.65198
Chen, Minghua; Deng, Weihua
32
2015
A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives. Zbl 1332.65131
Zhao, Lijing; Deng, Weihua
31
2015
Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes. Zbl 1349.65476
Qiu, Liangliang; Deng, Weihua; Hesthaven, Jan S.
27
2015
Numerical algorithms for the forward and backward fractional Feynman-Kac equations. Zbl 1335.65069
Deng, Weihua; Chen, Minghua; Barkai, Eli
24
2015
Positivity and boundedness preserving schemes for space-time fractional predator-prey reaction-diffusion model. Zbl 1443.65151
Yu, Yanyan; Deng, Weihua; Wu, Yujiang
18
2015
Fourth order accurate scheme for the space fractional diffusion equations. Zbl 1318.65048
Chen, Minghua; Deng, Weihua
111
2014
Fourth order difference approximations for space Riemann-Liouville derivatives based on weighted and shifted Lubich difference operators. Zbl 1388.65130
Chen, Minghua; Deng, Weihua
39
2014
A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation. Zbl 1427.65149
Chen, Minghua; Deng, Weihua
34
2014
Polynomial spectral collocation method for space fractional advection-diffusion equation. Zbl 1287.65093
Tian, WenYi; Deng, Weihua; Wu, Yujiang
32
2014
Jacobian-predictor-corrector approach for fractional differential equations. Zbl 1322.65079
Zhao, Lijing; Deng, Weihua
28
2014
Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation. Zbl 1301.35200
Chen, Minghua; Wang, Yantao; Cheng, Xiao; Deng, Weihua
22
2014
Orthogonal spline collocation methods for the subdiffusion equation. Zbl 1291.65307
Li, Can; Zhao, Tinggang; Deng, Weihua; Wu, Yujiang
14
2014
Efficient numerical algorithms for three-dimensional fractional partial differential equations. Zbl 1313.65247
Deng, Weihua; Chen, Minghua
13
2014
Exact solutions and their asymptotic behaviors for the averaged generalized fractional elastic models. Zbl 1301.74008
Li, Can; Deng, Wei-Hua; Shen, Xiao-Qin
6
2014
Analytical solutions, moments, and their asymptotic behaviors for the time-space fractional cable equation. Zbl 1294.35188
Li, Can; Deng, Wei-Hua
4
2014
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
109
2013
Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130
Zhou, Han; Tian, WenYi; Deng, Weihua
88
2013
Superlinearly convergent algorithms for the two-dimensional space-time Caputo-Riesz fractional diffusion equation. Zbl 1283.65082
Chen, Minghua; Deng, Weihua; Wu, Yujiang
43
2013
High order finite difference WENO schemes for fractional differential equations. Zbl 1259.65128
Deng, Weihua; Du, Shanda; Wu, Yujiang
23
2013
Positivity and boundedness preserving schemes for the fractional reaction-diffusion equation. Zbl 1292.65095
Yu, YanYan; Deng, WeiHua; Wu, YuJiang
5
2013
Finite difference/element method for a two-dimensional modified fractional diffusion equation. Zbl 1262.65108
Zhang, Na; Deng, Weihua; Wu, Yujiang
68
2012
Finite difference/predictor-corrector approximations for the space and time fractional Fokker-Planck equation. Zbl 1252.82073
Deng, Kaiying; Deng, Weihua
15
2012
Regularization methods for unknown source in space fractional diffusion equation. Zbl 1260.35246
Tian, Wenyi; Li, Can; Deng, Weihua; Wu, Yujiang
14
2012
Finite difference approximations and dynamics simulations for the Lévy fractional Klein-Kramers equation. Zbl 1312.65137
Li, Can; Deng, Weihua; Wu, Yujiang
4
2012
Finite difference methods and their physical constraints for the fractional Klein-Kramers equation. Zbl 1233.65052
Deng, Weihua; Li, Can
19
2011
Numerical analysis and physical simulations for the time fractional radial diffusion equation. Zbl 1228.65144
Li, Can; Deng, Weihua; Wu, Yujiang
17
2011
Smoothness and stability of the solutions for nonlinear fractional differential equations. Zbl 1182.26009
Deng, Weihua
66
2010
Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344
Deng, Weihua
301
2009
The evolution of chaotic dynamics for fractional unified system. Zbl 1217.37026
Deng, Weihua; Li, Changpin
28
2008
Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115
Deng, Weihua; Li, Changpin; Lü, Jinhu
361
2007
Remarks on fractional derivatives. Zbl 1125.26009
Li, Changpin; Deng, Weihua
224
2007
Numerical algorithm for the time fractional Fokker-Planck equation. Zbl 1388.35095
Deng, Weihua
133
2007
Short memory principle and a predictor-corrector approach for fractional differential equations. Zbl 1121.65128
Deng, Weihua
86
2007
Analysis of fractional differential equations with multi-orders. Zbl 1176.34008
Deng, Weihua; Li, Changpin; Guo, Qian
28
2007
Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system. Zbl 1209.37032
Deng, Weihua; Lü, Jinhu
27
2007
Generating 3D scroll grid attractors of fractional differential systems via stair function. Zbl 1149.37305
Deng, Weihua
6
2007
Synchronization of limit sets. Zbl 1117.37019
Li, Changpin; Deng, Weihua
2
2007
Chaos synchronization of fractional-order differential systems. Zbl 1101.37025
Li, Changpin; Deng, Weihua
24
2006
Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control. Zbl 1146.37316
Deng, Weihua; Lü, Jinhu
24
2006
Stability analysis of differential equations with time-dependent delay. Zbl 1112.34056
Deng, Weihua; Wu, Yujiang; Li, Changpin
11
2006
...and 4 more Documents
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Cited by 2,728 Authors

84 Deng, Weihua
55 Li, Changpin
48 Wang, Hong
40 Cao, Jinde
40 Li, Hong
40 Liu, Yang
35 Huang, Chengdai
34 Băleanu, Dumitru I.
33 Liu, Fawang
32 Dehghan Takht Fooladi, Mehdi
30 Sun, Zhizhong
28 Abbaszadeh, Mostafa
28 Karniadakis, George Em
27 Sun, Haiwei
25 Turner, Ian William
23 Chen, Minghua
23 Zheng, Xiangcheng
22 Huang, Chengming
21 Nie, Daxin
20 Yan, Yubin
20 Zeng, Fanhai
19 Ding, Hengfei
19 Lei, Siulong
19 Xiao, Min
18 Bu, Weiping
17 Fu, Hongfei
17 Jiang, Xiaoyun
17 Vong, Seakweng
16 Chen, Yangquan
16 Tavazoei, Mohammad Saleh
16 Wu, Ranchao
16 Wu, Yujiang
16 Xu, Changjin
15 Gu, Xian-Ming
15 Sun, Jing
15 Wang, Zhibo
14 Anh, Vo V.
14 Jiang, Wei
14 Li, Meng
14 Wang, Yejuan
14 Zaky, Mahmoud A.
13 Gao, Guanghua
13 Hao, Zhaopeng
13 Liu, Huan
13 Wei, LeiLei
13 Xu, Da
13 Yin, Baoli
13 Zhang, Zhimin
13 Zhao, Yongliang
12 Abdeljawad, Thabet
12 Al-saedi, Ahmed Eid Salem
12 Bhrawy, Ali Hassan
12 Cao, Wanrong
12 Chen, Liping
12 Li, Peiluan
12 Li, Xiaoli
12 She, Zihang
12 Tang, Yifa
12 Wang, Jinfeng
11 Caraballo Garrido, Tomás
11 Liao, Maoxin
11 Liu, Zixin
11 Machado, José António Tenreiro
11 Mohebbi, Akbar
11 Zhang, Jiwei
11 Zhao, Lijing
11 Zhou, Yong
10 Cheng, Aijie
10 Haeri, Mohammad
10 Liu, Song
10 Liu, Zhengguang
10 Xie, Jianqiang
10 Yang, Xuehua
10 Zhang, Haixiang
10 Zhang, Zhiyue
9 Angstmann, Christopher N.
9 Bhalekar, Sachin
9 Chen, Hao
9 Chen, Huanzhen
9 Feng, Libo
9 Henry, Bruce I.
9 Jarad, Fahd
9 Javidi, Mohammad
9 Jia, Jinhong
9 Li, Can
9 Lin, Fu-Rong
9 Liu, Heng
9 Lyu, Pin
9 Ng, Michael Kwok-Po
9 Qiu, Wenlin
9 Sun, Hongguang
9 Wang, Zhen
9 Wu, Guocheng
9 Xiao, Aiguo
9 Xu, Yang
9 Yu, Yongguang
9 Zhang, Zhongqiang
9 Zhao, Jingjun
9 Zhao, Zhengang
9 Zhou, Xianfeng
...and 2,628 more Authors
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Cited in 250 Serials

119 Computers & Mathematics with Applications
113 Applied Mathematics and Computation
97 Applied Numerical Mathematics
96 Journal of Scientific Computing
83 Journal of Computational Physics
77 Nonlinear Dynamics
70 Numerical Algorithms
65 Chaos, Solitons and Fractals
64 Advances in Difference Equations
62 Communications in Nonlinear Science and Numerical Simulation
58 Journal of Computational and Applied Mathematics
52 International Journal of Computer Mathematics
43 Fractional Calculus & Applied Analysis
42 Computational and Applied Mathematics
36 Numerical Methods for Partial Differential Equations
35 Mathematics and Computers in Simulation
31 Mathematical Methods in the Applied Sciences
31 Applied Mathematics Letters
31 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
31 Mathematical Problems in Engineering
30 Physica A
30 Chaos
29 SIAM Journal on Scientific Computing
24 Abstract and Applied Analysis
23 Journal of Applied Mathematics and Computing
22 Communications on Applied Mathematics and Computation
20 Fractals
19 Journal of Physics A: Mathematical and Theoretical
18 Engineering Analysis with Boundary Elements
17 BIT
17 SIAM Journal on Numerical Analysis
17 Applied Mathematical Modelling
16 Complexity
16 Discrete Dynamics in Nature and Society
15 Discrete and Continuous Dynamical Systems. Series B
14 Journal of the Franklin Institute
13 East Asian Journal on Applied Mathematics
12 Computer Methods in Applied Mechanics and Engineering
12 Neural Networks
11 Advances in Computational Mathematics
11 International Journal of Applied and Computational Mathematics
10 Communications in Computational Physics
10 Advances in Applied Mathematics and Mechanics
10 AIMS Mathematics
9 Open Mathematics
8 Calcolo
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 International Journal of Biomathematics
8 Advances in Mathematical Physics
8 Science China. Mathematics
8 Mathematics
8 International Journal of Systems Science. Principles and Applications of Systems and Integration
7 International Journal of Modern Physics B
7 Nonlinear Analysis. Modelling and Control
7 Computational Methods for Differential Equations
6 SIAM Journal on Matrix Analysis and Applications
6 Journal of Vibration and Control
6 Lobachevskii Journal of Mathematics
6 Computational Methods in Applied Mathematics
6 Discrete and Continuous Dynamical Systems. Series S
6 Journal of Mathematics
5 Journal of Mathematical Physics
5 Journal of Statistical Physics
5 Journal of Optimization Theory and Applications
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Numerical Functional Analysis and Optimization
5 Circuits, Systems, and Signal Processing
5 International Journal of Nonlinear Sciences and Numerical Simulation
5 Nonlinear Analysis. Real World Applications
5 Journal of Applied Mathematics
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 MATCH - Communications in Mathematical and in Computer Chemistry
5 Mediterranean Journal of Mathematics
5 Boundary Value Problems
5 International Journal of Differential Equations
5 Asian Journal of Control
5 Journal of Applied Analysis and Computation
5 Mathematical Sciences
4 Computer Physics Communications
4 International Journal of Control
4 Computational Mechanics
4 International Journal of Robust and Nonlinear Control
4 Taiwanese Journal of Mathematics
4 Soft Computing
4 Journal of Systems Science and Complexity
4 Inverse Problems in Science and Engineering
4 Numerical Mathematics: Theory, Methods and Applications
4 Electronic Research Archive
3 Applicable Analysis
3 Mathematics of Computation
3 Automatica
3 Information Sciences
3 Journal of Computational Mathematics
3 Physica D
3 Acta Mathematicae Applicatae Sinica. English Series
3 Japan Journal of Industrial and Applied Mathematics
3 SIAM Journal on Mathematical Analysis
3 Turkish Journal of Mathematics
3 Filomat
3 Journal of Inverse and Ill-Posed Problems
...and 150 more Serials
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Cited in 41 Fields

1,267 Numerical analysis (65-XX)
1,061 Partial differential equations (35-XX)
724 Ordinary differential equations (34-XX)
543 Real functions (26-XX)
235 Systems theory; control (93-XX)
152 Biology and other natural sciences (92-XX)
120 Dynamical systems and ergodic theory (37-XX)
107 Probability theory and stochastic processes (60-XX)
78 Integral equations (45-XX)
75 Statistical mechanics, structure of matter (82-XX)
68 Fluid mechanics (76-XX)
63 Operator theory (47-XX)
43 Linear and multilinear algebra; matrix theory (15-XX)
41 Special functions (33-XX)
38 Approximations and expansions (41-XX)
35 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
32 Computer science (68-XX)
31 Information and communication theory, circuits (94-XX)
30 Calculus of variations and optimal control; optimization (49-XX)
29 Mechanics of deformable solids (74-XX)
24 Difference and functional equations (39-XX)
22 Integral transforms, operational calculus (44-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
15 Mechanics of particles and systems (70-XX)
13 Optics, electromagnetic theory (78-XX)
12 Functional analysis (46-XX)
10 Quantum theory (81-XX)
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5 Combinatorics (05-XX)
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2 Number theory (11-XX)
2 Relativity and gravitational theory (83-XX)
1 Commutative algebra (13-XX)
1 Functions of a complex variable (30-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)

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