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Author ID: zheng.xiangcheng Recent zbMATH articles by "Zheng, Xiangcheng"
Published as: Zheng, Xiangcheng
Homepage: https://people.math.sc.edu/xz3/
External Links: ResearchGate · dblp
Documents Indexed: 55 Publications since 2019
Reviewing Activity: 1 Review
Co-Authors: 21 Co-Authors with 53 Joint Publications
859 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 264 times in 149 Documents Cited by Year
Wellposedness and regularity of the variable-order time-fractional diffusion equations. Zbl 07053183
Wang, Hong; Zheng, Xiangcheng
49
2019
A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations. Zbl 1437.65180
Chen, Chuanjun; Liu, Huan; Zheng, Xiangcheng; Wang, Hong
29
2020
An optimal-order numerical approximation to variable-order space-fractional diffusion equations on uniform or graded meshes. Zbl 1429.65168
Zheng, Xiangcheng; Wang, Hong
20
2020
An error estimate of a numerical approximation to a hidden-memory variable-order space-time fractional diffusion equation. Zbl 1450.65135
Zheng, Xiangcheng; Wang, Hong
19
2020
A hidden-memory variable-order time-fractional optimal control model: analysis and approximation. Zbl 1466.49025
Zheng, Xiangcheng; Wang, Hong
12
2021
Stability and convergence of a Crank-Nicolson finite volume method for space fractional diffusion equations. Zbl 1411.65120
Fu, Hongfei; Sun, Yanan; Wang, Hong; Zheng, Xiangcheng
11
2019
Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval. Zbl 1465.65154
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
10
2021
An efficient finite volume method for nonlinear distributed-order space-fractional diffusion equations in three space dimensions. Zbl 1428.65023
Zheng, Xiangcheng; Liu, Huan; Wang, Hong; Fu, Hongfei
10
2019
A variably distributed-order time-fractional diffusion equation: analysis and approximation. Zbl 1442.76074
Yang, Zhiwei; Zheng, Xiangcheng; Wang, Hong
9
2020
Wellposedness of the two-sided variable coefficient Caputo flux fractional diffusion equation and error estimate of its spectral approximation. Zbl 1477.65127
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
8
2020
A fast method for variable-order space-fractional diffusion equations. Zbl 1456.65132
Jia, Jinhong; Zheng, Xiangcheng; Fu, Hongfei; Dai, Pingfei; Wang, Hong
8
2020
Wellposedness and regularity of a variable-order space-time fractional diffusion equation. Zbl 1442.35575
Zheng, Xiangcheng; Wang, Hong
8
2020
Wellposedness and smoothing properties of history-state-based variable-order time-fractional diffusion equations. Zbl 1444.35159
Zheng, Xiangcheng; Wang, Hong
8
2020
Wellposedness and regularity of a nonlinear variable-order fractional wave equation. Zbl 1464.34026
Zheng, Xiangcheng; Wang, Hong
7
2019
Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension. Zbl 1429.65289
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
7
2019
A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis. Zbl 1458.65100
Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng
6
2021
Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions. Zbl 07528285
Zheng, Xiangcheng; Wang, Hong
5
2021
A preconditioned fast finite element approximation to variable-order time-fractional diffusion equations in multiple space dimensions. Zbl 1471.65144
Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng
5
2021
Analysis of a nonlinear variable-order fractional stochastic differential equation. Zbl 1441.60051
Zheng, Xiangcheng; Zhang, Zhongqiang; Wang, Hong
4
2020
An indirect finite element method for variable-coefficient space-fractional diffusion equations and its optimal-order error estimates. Zbl 1449.65331
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
4
2020
Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data. Zbl 1451.65209
Zheng, Xiangcheng; Ervin, Vincent J.; Wang, Hong
4
2020
A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation. Zbl 07430401
Zheng, Xiangcheng; Wang, Hong
3
2021
Uniqueness of determining the variable fractional order in variable-order time-fractional diffusion equations. Zbl 1428.35675
Zheng, Xiangcheng; Cheng, Jin; Wang, Hong
3
2019
Logarithmic transformation between (variable-order) Caputo and Caputo-Hadamard fractional problems and applications. Zbl 1475.35404
Zheng, Xiangcheng
2
2021
Analysis and discretization of a variable-order fractional wave equation. Zbl 07428007
Zheng, Xiangcheng; Wang, Hong
2
2022
Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions. Zbl 1462.65208
Zheng, Xiangcheng; Liu, Huan; Wang, Hong; Fu, Hongfei
2
2021
Well-posedness and regularity of Caputo-Hadamard fractional stochastic differential equations. Zbl 1471.34024
Yang, Zhiwei; Zheng, Xiangcheng; Wang, Hong
2
2021
An optimal-order error estimate of the lowest-order ELLAM-MFEM approximation to miscible displacement in three space dimensions. Zbl 1433.76095
Wang, Hong; Zheng, Xiangcheng
2
2020
Variable-order space-fractional diffusion equations and a variable-order modification of constant-order fractional problems. Zbl 07518210
Zheng, Xiangcheng; Wang, Hong
1
2022
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order. Zbl 07410095
Gu, Xian-Ming; Sun, Hai-Wei; Zhao, Yong-Liang; Zheng, Xiangcheng
1
2021
The unique identification of variable-order fractional wave equations. Zbl 1465.35413
Zheng, Xiangcheng; Wang, Hong
1
2021
A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model. Zbl 1486.65148
Liu, Huan; Zheng, Xiangcheng; Chen, Chuanjun; Wang, Hong
1
2021
An efficient matrix splitting preconditioning technique for two-dimensional unsteady space-fractional diffusion equations. Zbl 1434.65110
Dai, Pingfei; Wu, Qingbiao; Wang, Hong; Zheng, Xiangcheng
1
2020
Analysis and discretization of a variable-order fractional wave equation. Zbl 07428007
Zheng, Xiangcheng; Wang, Hong
2
2022
Variable-order space-fractional diffusion equations and a variable-order modification of constant-order fractional problems. Zbl 07518210
Zheng, Xiangcheng; Wang, Hong
1
2022
A hidden-memory variable-order time-fractional optimal control model: analysis and approximation. Zbl 1466.49025
Zheng, Xiangcheng; Wang, Hong
12
2021
Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval. Zbl 1465.65154
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
10
2021
A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis. Zbl 1458.65100
Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng
6
2021
Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions. Zbl 07528285
Zheng, Xiangcheng; Wang, Hong
5
2021
A preconditioned fast finite element approximation to variable-order time-fractional diffusion equations in multiple space dimensions. Zbl 1471.65144
Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng
5
2021
A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation. Zbl 07430401
Zheng, Xiangcheng; Wang, Hong
3
2021
Logarithmic transformation between (variable-order) Caputo and Caputo-Hadamard fractional problems and applications. Zbl 1475.35404
Zheng, Xiangcheng
2
2021
Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions. Zbl 1462.65208
Zheng, Xiangcheng; Liu, Huan; Wang, Hong; Fu, Hongfei
2
2021
Well-posedness and regularity of Caputo-Hadamard fractional stochastic differential equations. Zbl 1471.34024
Yang, Zhiwei; Zheng, Xiangcheng; Wang, Hong
2
2021
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order. Zbl 07410095
Gu, Xian-Ming; Sun, Hai-Wei; Zhao, Yong-Liang; Zheng, Xiangcheng
1
2021
The unique identification of variable-order fractional wave equations. Zbl 1465.35413
Zheng, Xiangcheng; Wang, Hong
1
2021
A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model. Zbl 1486.65148
Liu, Huan; Zheng, Xiangcheng; Chen, Chuanjun; Wang, Hong
1
2021
A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations. Zbl 1437.65180
Chen, Chuanjun; Liu, Huan; Zheng, Xiangcheng; Wang, Hong
29
2020
An optimal-order numerical approximation to variable-order space-fractional diffusion equations on uniform or graded meshes. Zbl 1429.65168
Zheng, Xiangcheng; Wang, Hong
20
2020
An error estimate of a numerical approximation to a hidden-memory variable-order space-time fractional diffusion equation. Zbl 1450.65135
Zheng, Xiangcheng; Wang, Hong
19
2020
A variably distributed-order time-fractional diffusion equation: analysis and approximation. Zbl 1442.76074
Yang, Zhiwei; Zheng, Xiangcheng; Wang, Hong
9
2020
Wellposedness of the two-sided variable coefficient Caputo flux fractional diffusion equation and error estimate of its spectral approximation. Zbl 1477.65127
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
8
2020
A fast method for variable-order space-fractional diffusion equations. Zbl 1456.65132
Jia, Jinhong; Zheng, Xiangcheng; Fu, Hongfei; Dai, Pingfei; Wang, Hong
8
2020
Wellposedness and regularity of a variable-order space-time fractional diffusion equation. Zbl 1442.35575
Zheng, Xiangcheng; Wang, Hong
8
2020
Wellposedness and smoothing properties of history-state-based variable-order time-fractional diffusion equations. Zbl 1444.35159
Zheng, Xiangcheng; Wang, Hong
8
2020
Analysis of a nonlinear variable-order fractional stochastic differential equation. Zbl 1441.60051
Zheng, Xiangcheng; Zhang, Zhongqiang; Wang, Hong
4
2020
An indirect finite element method for variable-coefficient space-fractional diffusion equations and its optimal-order error estimates. Zbl 1449.65331
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
4
2020
Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data. Zbl 1451.65209
Zheng, Xiangcheng; Ervin, Vincent J.; Wang, Hong
4
2020
An optimal-order error estimate of the lowest-order ELLAM-MFEM approximation to miscible displacement in three space dimensions. Zbl 1433.76095
Wang, Hong; Zheng, Xiangcheng
2
2020
An efficient matrix splitting preconditioning technique for two-dimensional unsteady space-fractional diffusion equations. Zbl 1434.65110
Dai, Pingfei; Wu, Qingbiao; Wang, Hong; Zheng, Xiangcheng
1
2020
Wellposedness and regularity of the variable-order time-fractional diffusion equations. Zbl 07053183
Wang, Hong; Zheng, Xiangcheng
49
2019
Stability and convergence of a Crank-Nicolson finite volume method for space fractional diffusion equations. Zbl 1411.65120
Fu, Hongfei; Sun, Yanan; Wang, Hong; Zheng, Xiangcheng
11
2019
An efficient finite volume method for nonlinear distributed-order space-fractional diffusion equations in three space dimensions. Zbl 1428.65023
Zheng, Xiangcheng; Liu, Huan; Wang, Hong; Fu, Hongfei
10
2019
Wellposedness and regularity of a nonlinear variable-order fractional wave equation. Zbl 1464.34026
Zheng, Xiangcheng; Wang, Hong
7
2019
Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension. Zbl 1429.65289
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
7
2019
Uniqueness of determining the variable fractional order in variable-order time-fractional diffusion equations. Zbl 1428.35675
Zheng, Xiangcheng; Cheng, Jin; Wang, Hong
3
2019
all top 5

Cited by 242 Authors

42 Zheng, Xiangcheng
39 Wang, Hong
10 Fu, Hongfei
9 Jia, Jinhong
8 Liu, Huan
6 Chen, Chuanjun
6 Yang, Zhiwei
5 Sun, Haiwei
4 Li, Hong
4 Li, Yulong
4 Liu, Yang
4 Wei, LeiLei
3 Ervin, Vincent J.
3 Fang, Zhiwei
3 Gu, Yongyi
3 Hendy, Ahmed S.
3 Yin, Baoli
3 Zaky, Mahmoud A.
3 Zhang, Bingyin
3 Zhu, Chen
2 Ashurov, Ravshan Rajabovich
2 Attia, Raghda A. M.
2 Avazzadeh, Zakieh
2 Băleanu, Dumitru I.
2 Che, Haitao
2 Chen, Haibin
2 Cheng, Aijie
2 Cheng, Jin
2 Dai, Pingfei
2 Hassani, Hossein
2 Huang, Jian
2 Khater, Mostafa M. A.
2 Liang, Xueting
2 Liu, Yanling
2 Liu, Zhengguang
2 Lou, Yuzhi
2 Machado, José António Tenreiro
2 Qin, Haiyong
2 Talib, Imran
2 van Bockstal, Karel
2 Wang, Jinfeng
2 Xu, Yang
2 Yang, Xuehua
2 Yin, Zhe
2 Zhang, Haixiang
2 Zhang, Jiali
2 Zhang, Jiansong
2 Zhang, Shuqin
2 Zhang, YanMing
2 Zhang, Zhongqiang
2 Zhao, Jingjun
1 Abdelkawy, Mohamed A.
1 Ahmad, Bashir
1 Albadarneh, Ramzi B.
1 Alikhanov, Anatoly A.
1 Alimov, Shavkat Arifdzhanovich
1 Alnahdi, Abeer S.
1 Alomari, A. K.
1 Al-saedi, Ahmed Eid Salem
1 Aminikhah, Hossein
1 An, Na
1 Anh, Vo V.
1 Bai, Xixian
1 Batiha, Iqbal M.
1 Ben Makhlouf, Abdellatif
1 Bi, Chunjia
1 Bi, Yanan
1 Cai, Wei
1 Cao, Wanrong
1 Celik, Emine
1 Chai, Li
1 Chaudhary, Sudhakar
1 Chen, Hu
1 Chen, Huanzhen
1 Chen, Yaping
1 Chou, Lot-Kei
1 Dien, Nguyen Minh
1 Du, Changfa
1 Du, Ruilian
1 Elsakout, D. M.
1 Faheem, Mo
1 Fan, Jiajie
1 Fang, Shaomei
1 Fang, Zhichao
1 Feng, Libo
1 Fu, Taibai
1 Furati, Khaled M.
1 Gao, Xinghua
1 Gu, Lufeng
1 Gu, Xian-Ming
1 Guo, Boling
1 Guo, Ling
1 Guo, Shimin
1 Guo, Xu
1 Guo, Yingwen
1 Hafez, Ramy Mahmoud
1 Hamdan, Soha
1 Hammouch, Zakia
1 Han, Huiran
1 He, Wenming
...and 142 more Authors
all top 5

Cited in 54 Serials

14 Journal of Function Spaces
12 Computers & Mathematics with Applications
10 Mathematics and Computers in Simulation
10 Journal of Scientific Computing
9 Applied Numerical Mathematics
7 Journal of Computational and Applied Mathematics
5 Chaos, Solitons and Fractals
5 Applied Mathematics Letters
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 AIMS Mathematics
4 Electronic Research Archive
3 Applied Mathematics and Computation
3 Numerical Algorithms
3 Computational and Applied Mathematics
3 Advances in Computational Mathematics
3 Fractional Calculus & Applied Analysis
3 Communications in Nonlinear Science and Numerical Simulation
3 Advances in Difference Equations
2 Numerische Mathematik
2 SIAM Journal on Numerical Analysis
2 Journal of Inverse and Ill-Posed Problems
2 Mathematical Problems in Engineering
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Advances in Applied Mathematics and Mechanics
2 East Asian Journal on Applied Mathematics
2 Communications on Applied Mathematics and Computation
1 Applicable Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Inverse Problems
1 Journal of Computational Physics
1 Rocky Mountain Journal of Mathematics
1 BIT
1 SIAM Journal on Control and Optimization
1 Journal of Computational Mathematics
1 Journal of Integral Equations and Applications
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Scientific Computing
1 Fractals
1 ETNA. Electronic Transactions on Numerical Analysis
1 Nonlinear Dynamics
1 European Journal of Mechanics. A. Solids
1 Discrete and Continuous Dynamical Systems. Series B
1 Computational Methods in Applied Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Communications on Pure and Applied Analysis
1 Journal of Applied Mathematics and Computing
1 Analysis and Applications (Singapore)
1 Boundary Value Problems
1 Inverse Problems in Science and Engineering
1 Numerical Mathematics: Theory, Methods and Applications
1 Tbilisi Mathematical Journal

Citations by Year