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Author ID: zhuang.pinghui Recent zbMATH articles by "Zhuang, Pinghui"
Published as: Zhuang, P.; Zhuang, Pinghui; Zhuang, Ping-hui

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 2,708 times in 1,666 Documents Cited by Year
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.
335
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
Numerical methods for solving the multi-term time-fractional wave-diffusion equation. Zbl 1312.65138
Liu, Fawang; Meerschaert, Mark; McGough, Robert; Zhuang, Pinghui; Liu, Qingxia
229
2013
Finite difference approximations for the fractional Fokker-Planck equation. Zbl 1167.65419
Chen, S.; Liu, Fawang; Zhuang, P.; Anh, V.
150
2009
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
Implicit difference approximation for the time fractional diffusion equation. Zbl 1140.65094
Zhuang, P.; Liu, Fawang
136
2006
Time fractional advection-dispersion equation. Zbl 1068.26006
Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P.
134
2003
Numerical methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124
Liu, F.; Zhuang, P.; Burrage, K.
126
2012
An implicit RBF meshless approach for time fractional diffusion equations. Zbl 1377.76025
Liu, Q.; Gu, Y. T.; Zhuang, P.; Liu, F.; Nie, Y. F.
116
2011
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.
80
2015
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
An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation. Zbl 1231.65178
Gu, Y. T.; Zhuang, P.; Liu, F.
64
2010
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
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
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
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
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
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
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
Numerical simulation for solute transport in fractal porous media. Zbl 1123.76363
Liu, Fawang; Anh, V.; Turner, I.; Zhuang, P.
38
2004
An advanced meshless method for time fractional diffusion equation. Zbl 1245.65133
Gu, Y. T.; Zhuang, P.; Liu, Q.
36
2011
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
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
Implicit difference approximation for the two-dimensional space-time fractional diffusion equation. Zbl 1144.65090
Zhuang, P.; Liu, Fawang
21
2007
Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative. Zbl 1353.76055
Zhuang, Ping-hui; Liu, Qing-xia
17
2009
Numerical treatment for the fractional Fokker-Planck equation. Zbl 1334.82048
Zhuang, Pinghui; Liu, Fawang; Anh, Vo; Turner, Ian
12
2007
An RBF based meshless method for the distributed order time fractional advection-diffusion equation. Zbl 1403.65096
Liu, Quanzhen; Mu, Shanjun; Liu, Qingxia; Liu, Baoquan; Bi, Xiaolei; Zhuang, Pinghui; Li, Bochen; Gao, Jian
9
2018
Advanced implicit meshless approaches for the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative. Zbl 1404.76010
Bi, Xiaolei; Mu, Shanjun; Liu, Qingxia; Liu, Quanzhen; Liu, Baoquan; Zhuang, Pinghui; Gao, Jian; Jiang, Hui; Li, Xin; Li, Bochen
7
2018
The CBM physics book. Compressed baryonic matter in laboratory experiments. Zbl 1221.81010
6
2011
Accurate numerical scheme for solving fractional diffusion-wave two-step model for nanoscale heat conduction. Zbl 1502.65072
Shen, Shujun; Dai, Weizhong; Liu, Qingxia; Zhuang, Pinghui
2
2023
An investigation of radial basis functions for fractional derivatives and their applications. Zbl 1496.76111
Liu, Qingxia; Zhuang, Pinghui; Liu, Fawang; Lai, Junjiang; Anh, Vo; Chen, Shanzhen
2
2020
Radial point interpolation collocation method based approximation for 2D fractional equation models. Zbl 1524.65667
Liu, Qingxia; Zhuang, Pinghui; Liu, Fawang; Zheng, Minling; Chen, Shanzhen
1
2021
Accurate numerical scheme for solving fractional diffusion-wave two-step model for nanoscale heat conduction. Zbl 1502.65072
Shen, Shujun; Dai, Weizhong; Liu, Qingxia; Zhuang, Pinghui
2
2023
Radial point interpolation collocation method based approximation for 2D fractional equation models. Zbl 1524.65667
Liu, Qingxia; Zhuang, Pinghui; Liu, Fawang; Zheng, Minling; Chen, Shanzhen
1
2021
An investigation of radial basis functions for fractional derivatives and their applications. Zbl 1496.76111
Liu, Qingxia; Zhuang, Pinghui; Liu, Fawang; Lai, Junjiang; Anh, Vo; Chen, Shanzhen
2
2020
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
An RBF based meshless method for the distributed order time fractional advection-diffusion equation. Zbl 1403.65096
Liu, Quanzhen; Mu, Shanjun; Liu, Qingxia; Liu, Baoquan; Bi, Xiaolei; Zhuang, Pinghui; Li, Bochen; Gao, Jian
9
2018
Advanced implicit meshless approaches for the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative. Zbl 1404.76010
Bi, Xiaolei; Mu, Shanjun; Liu, Qingxia; Liu, Quanzhen; Liu, Baoquan; Zhuang, Pinghui; Gao, Jian; Jiang, Hui; Li, Xin; Li, Bochen
7
2018
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
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
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
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.
80
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 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
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
Numerical methods for solving the multi-term time-fractional wave-diffusion equation. Zbl 1312.65138
Liu, Fawang; Meerschaert, Mark; McGough, Robert; Zhuang, Pinghui; Liu, Qingxia
229
2013
Numerical methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124
Liu, F.; Zhuang, P.; Burrage, K.
126
2012
An implicit RBF meshless approach for time fractional diffusion equations. Zbl 1377.76025
Liu, Q.; Gu, Y. T.; Zhuang, P.; Liu, F.; Nie, Y. F.
116
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.
70
2011
An advanced meshless method for time fractional diffusion equation. Zbl 1245.65133
Gu, Y. T.; Zhuang, P.; Liu, Q.
36
2011
The CBM physics book. Compressed baryonic matter in laboratory experiments. Zbl 1221.81010
6
2011
An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation. Zbl 1231.65178
Gu, Y. T.; Zhuang, P.; Liu, F.
64
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
Finite difference approximations for the fractional Fokker-Planck equation. Zbl 1167.65419
Chen, S.; Liu, Fawang; Zhuang, P.; Anh, V.
150
2009
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
Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative. Zbl 1353.76055
Zhuang, Ping-hui; Liu, Qing-xia
17
2009
New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006
Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.
241
2008
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.
335
2007
Implicit difference approximation for the two-dimensional space-time fractional diffusion equation. Zbl 1144.65090
Zhuang, P.; Liu, Fawang
21
2007
Numerical treatment for the fractional Fokker-Planck equation. Zbl 1334.82048
Zhuang, Pinghui; Liu, Fawang; Anh, Vo; Turner, Ian
12
2007
Implicit difference approximation for the time fractional diffusion equation. Zbl 1140.65094
Zhuang, P.; Liu, Fawang
136
2006
Numerical simulation for solute transport in fractal porous media. Zbl 1123.76363
Liu, Fawang; Anh, V.; Turner, I.; Zhuang, P.
38
2004
Time fractional advection-dispersion equation. Zbl 1068.26006
Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P.
134
2003
all top 5

Cited by 1,866 Authors

159 Liu, Fawang
80 Turner, Ian William
59 Anh, Vo V.
45 Wang, Hong
44 Dehghan Takht Fooladi, Mehdi
40 Abbaszadeh, Mostafa
37 Liu, Yang
36 Li, Hong
36 Zheng, Xiangcheng
31 Sun, Zhizhong
28 Băleanu, Dumitru I.
26 Jiang, Xiaoyun
24 Burrage, Kevin
24 Sun, Haiwei
24 Xu, Da
24 Zhuang, Pinghui
23 Feng, Libo
22 Heydari, Mohammad Hossein
22 Wei, Ting
21 Tang, Yifa
21 Zaky, Mahmoud A.
20 Zhao, Yanmin
18 Deng, Weihua
18 Hendy, Ahmed S.
18 Mohebbi, Akbar
18 Wei, LeiLei
17 Avazzadeh, Zakieh
17 Fu, Hongfei
17 Li, Xiaoli
17 Lu, Shujuan
16 Bhrawy, Ali Hassan
16 Bu, Weiping
16 Vong, Seakweng
16 Wang, Yuanming
16 Zeng, Fanhai
15 Chen, Changming
15 Chen, Wen
15 Liu, Qingxia
15 Sun, Hongguang
15 Zheng, Liancun
14 Gao, Guanghua
14 Li, Changpin
14 Li, Xiaoxiao
14 Machado, José António Tenreiro
14 Yang, Fan
13 Abdelkawy, Mohamed A.
13 Karniadakis, George Em
13 Shivanian, Elyas
13 Wang, Jinfeng
13 Wang, Jungang
13 Yin, Baoli
12 Atangana, Abdon
12 Chen, Shanzhen
12 Cheng, Aijie
12 Huang, Jianfei
12 Liu, Zhengguang
12 Owolabi, Kolade Matthew
12 Wang, Fenling
12 Zhang, Hui
11 Cui, Mingrong
11 Nie, Yufeng
11 Nikan, Omid
11 Wang, Zhibo
11 Yang, Qianqian
11 Zhang, Xindong
10 Chen, Hu
10 Chen, Jinghua
10 Doha, Eid H.
10 Ezz-Eldien, Samer S.
10 Gu, Yuantong
10 Ng, Michael Kwok-Po
9 Chen, Minghua
9 Chen, Yanping
9 Huang, Chengming
9 Li, Gongsheng
9 Liu, Huan
9 Lyu, Pin
9 Macías-Díaz, Jorge Eduardo
9 Mustapha, Kassem
9 Qiu, Wenlin
9 Ren, Lei
9 Roul, Pradip
9 Rui, Hongxing
9 Shen, Shujun
9 Wu, Guocheng
9 Xiao, Aiguo
9 Zhang, Haixiang
8 Alikhanov, Anatoliĭ Alievich
8 Fang, Zhichao
8 Gu, Xian-Ming
8 Huang, Yunqing
8 Wu, Yujiang
8 Yang, Jiye
8 Yang, Xiaozhong
8 Yang, Xuehua
8 Zhao, Yongliang
8 Zheng, Guanghui
7 Aminikhah, Hossein
7 Chen, Yangquan
7 Ding, Hengfei
...and 1,766 more Authors
all top 5

Cited in 198 Serials

139 Computers & Mathematics with Applications
105 Applied Mathematics and Computation
86 Journal of Computational Physics
75 Numerical Algorithms
63 Applied Numerical Mathematics
62 Mathematical Methods in the Applied Sciences
62 Journal of Computational and Applied Mathematics
62 Numerical Methods for Partial Differential Equations
55 Advances in Difference Equations
54 Applied Mathematical Modelling
50 International Journal of Computer Mathematics
48 Journal of Scientific Computing
48 Engineering Analysis with Boundary Elements
45 Computational and Applied Mathematics
35 Fractional Calculus & Applied Analysis
34 Communications in Nonlinear Science and Numerical Simulation
32 Mathematics and Computers in Simulation
26 Journal of Applied Mathematics and Computing
25 Chaos, Solitons and Fractals
23 Applied Mathematics Letters
16 Inverse Problems in Science and Engineering
14 Mathematical Problems in Engineering
14 Advances in Mathematical Physics
13 Nonlinear Dynamics
12 Advances in Applied Mathematics and Mechanics
12 East Asian Journal on Applied Mathematics
11 Fractals
11 Abstract and Applied Analysis
11 Journal of Function Spaces
11 Communications on Applied Mathematics and Computation
10 Computer Methods in Applied Mechanics and Engineering
10 International Journal of Applied and Computational Mathematics
9 Physica A
9 SIAM Journal on Scientific Computing
9 Discrete and Continuous Dynamical Systems. Series S
8 Applicable Analysis
8 BIT
8 Computational Mechanics
8 Advances in Computational Mathematics
8 Discrete and Continuous Dynamical Systems. Series B
7 Computer Physics Communications
7 Calcolo
7 SIAM Journal on Numerical Analysis
7 International Journal of Nonlinear Sciences and Numerical Simulation
7 International Journal of Computational Methods
7 Mathematical Sciences
6 Numerical Linear Algebra with Applications
6 Journal of Nonlinear Science and Applications
6 AIMS Mathematics
5 Inverse Problems
5 Numerical Functional Analysis and Optimization
5 Journal of Inverse and Ill-Posed Problems
5 Journal of Mathematical Chemistry
5 Discrete Dynamics in Nature and Society
5 Chinese Journal of Physics (Taipei)
4 Journal of Mathematical Analysis and Applications
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Chaos
4 Journal of Applied Mathematics
4 International Journal of Differential Equations
4 Computational Methods for Differential Equations
4 Electronic Research Archive
3 Numerische Mathematik
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Complexity
3 Journal of Vibration and Control
3 Taiwanese Journal of Mathematics
3 Computational Methods in Applied Mathematics
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Boundary Value Problems
3 Communications in Computational Physics
3 Mathematical Modelling of Natural Phenomena
3 International Journal of Biomathematics
3 Science China. Mathematics
3 Journal of Applied Analysis and Computation
3 Fractional Differential Calculus
3 Journal of Mathematical Modeling
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Physics Letters. A
2 Reports on Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Mathematische Nachrichten
2 Optimal Control Applications & Methods
2 Mathematica Numerica Sinica
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Applicandae Mathematicae
2 Journal of Computational Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Mathematical and Computer Modelling
2 SIAM Journal on Matrix Analysis and Applications
2 Filomat
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 International Journal of Applied Mathematics and Computer Science
2 Mathematical Modelling and Analysis
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Mediterranean Journal of Mathematics
2 Journal of Statistical Mechanics: Theory and Experiment
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
...and 98 more Serials
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Cited in 42 Fields

1,380 Numerical analysis (65-XX)
1,263 Partial differential equations (35-XX)
401 Real functions (26-XX)
153 Fluid mechanics (76-XX)
140 Ordinary differential equations (34-XX)
93 Integral equations (45-XX)
57 Biology and other natural sciences (92-XX)
49 Statistical mechanics, structure of matter (82-XX)
42 Probability theory and stochastic processes (60-XX)
42 Mechanics of deformable solids (74-XX)
37 Special functions (33-XX)
33 Operator theory (47-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Approximations and expansions (41-XX)
24 Calculus of variations and optimal control; optimization (49-XX)
24 Classical thermodynamics, heat transfer (80-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
21 Integral transforms, operational calculus (44-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
18 Systems theory; control (93-XX)
14 Dynamical systems and ergodic theory (37-XX)
12 Optics, electromagnetic theory (78-XX)
11 Difference and functional equations (39-XX)
10 Geophysics (86-XX)
9 Quantum theory (81-XX)
7 Information and communication theory, circuits (94-XX)
6 Functional analysis (46-XX)
6 Statistics (62-XX)
5 Operations research, mathematical programming (90-XX)
4 Number theory (11-XX)
4 Potential theory (31-XX)
4 Computer science (68-XX)
3 Mechanics of particles and systems (70-XX)
2 Measure and integration (28-XX)
2 Relativity and gravitational theory (83-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mathematics education (97-XX)

Citations by Year