# zbMATH — the first resource for mathematics

## Shen, Shujun

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 Author ID: shen.shujun Published as: Shen, S.; Shen, Shujun
 Documents Indexed: 19 Publications since 1997
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#### Co-Authors

 0 single-authored 15 Liu, Fawang 11 Anh, Vo V. 6 Turner, Ian William 5 Chen, Jinghua 2 Liu, Qingxia 1 Burrage, Kevin 1 Cheng, Jinfa 1 Dai, Weizhong 1 Liao, Cuicui 1 Zhang, Hongmei
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#### Serials

 4 Journal of Applied Mathematics and Computing 2 IMA Journal of Applied Mathematics 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Journal of Xiamen University. Natural Science 2 Numerical Algorithms 2 The ANZIAM Journal 1 Numerical Mathematics: Theory, Methods and Applications
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#### Fields

 14 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 6 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

17 Publications have been cited 363 times in 302 Documents Cited by Year
Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089
Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V.
2012
Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation. Zbl 1214.65046
Shen, Shujun; Liu, Fawang; Anh, Vo
2011
The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.
2008
The analytical solution and numerical solution of the fractional diffusion-wave equation with damping. Zbl 1290.35306
Chen, J.; Liu, Fawang; Anh, V.; Shen, S.; Liu, Q.; Liao, C.
2012
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.
2005
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.
2013
A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J.
2014
Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends. Zbl 1078.65563
Shen, Shujun; Liu, Fawang
2005
The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation. Zbl 1398.65229
Shen, Shujun; Liu, Fawang; Anh, Vo V.
2019
Numerical simulation of anomalous infiltration in porous media. Zbl 1310.76121
Shen, S.; Liu, Fawang; Liu, Q.; Anh, Vo V.
2015
Fundamental solution and discrete random walk model for a time-space fractional diffusion equation of distributed order. Zbl 1157.65520
Shen, S.; Liu, Fawang; Anh, V.
2008
Detailed analysis of a conservative difference approximation for the time fractional diffusion equation. Zbl 1111.65115
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.
2006
Numerical techniques for simulating a fractional mathematical model of epidermal wound healing. Zbl 1325.92043
Chen, J.; Liu, F.; Burrage, K.; Shen, S.
2013
A computationally effective numerical method for the fractional-order Bagley-Torvik equation. Zbl 1122.65368
Shen, Shujun; Liu, Fawang
2004
The numerical simulation of space-time variable fractional order diffusion equations. Zbl 1299.26016
Zhang, Hongmei; Shen, Shujun
2013
Heat transfer and phase change of liquid in an inclined enclosure packed with unsaturated porous media. Zbl 1068.76081
Liu, W.; Shen, S.; Riffat, S. B.
2002
The degenerate solution for piezothermoelastic materials. Zbl 0888.73050
Yang, X.-X.; Shen, S.; Kuang, Z.-B.
1997
The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation. Zbl 1398.65229
Shen, Shujun; Liu, Fawang; Anh, Vo V.
2019
Numerical simulation of anomalous infiltration in porous media. Zbl 1310.76121
Shen, S.; Liu, Fawang; Liu, Q.; Anh, Vo V.
2015
A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J.
2014
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.
2013
Numerical techniques for simulating a fractional mathematical model of epidermal wound healing. Zbl 1325.92043
Chen, J.; Liu, F.; Burrage, K.; Shen, S.
2013
The numerical simulation of space-time variable fractional order diffusion equations. Zbl 1299.26016
Zhang, Hongmei; Shen, Shujun
2013
Numerical techniques for the variable-order time fractional diffusion equation. Zbl 1280.65089
Shen, S.; Liu, Fawang; Chen, J.; Turner, I.; Anh, V.
2012
The analytical solution and numerical solution of the fractional diffusion-wave equation with damping. Zbl 1290.35306
Chen, J.; Liu, Fawang; Anh, V.; Shen, S.; Liu, Q.; Liao, C.
2012
Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation. Zbl 1214.65046
Shen, Shujun; Liu, Fawang; Anh, Vo
2011
The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.
2008
Fundamental solution and discrete random walk model for a time-space fractional diffusion equation of distributed order. Zbl 1157.65520
Shen, S.; Liu, Fawang; Anh, V.
2008
Detailed analysis of a conservative difference approximation for the time fractional diffusion equation. Zbl 1111.65115
Shen, S.; Liu, Fawang; Anh, V.; Turner, I.
2006
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.
2005
Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends. Zbl 1078.65563
Shen, Shujun; Liu, Fawang
2005
A computationally effective numerical method for the fractional-order Bagley-Torvik equation. Zbl 1122.65368
Shen, Shujun; Liu, Fawang
2004
Heat transfer and phase change of liquid in an inclined enclosure packed with unsaturated porous media. Zbl 1068.76081
Liu, W.; Shen, S.; Riffat, S. B.
2002
The degenerate solution for piezothermoelastic materials. Zbl 0888.73050
Yang, X.-X.; Shen, S.; Kuang, Z.-B.
1997
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#### Cited by 484 Authors

 52 Liu, Fawang 31 Turner, Ian William 19 Anh, Vo V. 12 Bhrawy, Ali Hassan 11 Avazzadeh, Zakieh 11 Burrage, Kevin 8 Chen, Changming 8 Zhuang, Pinghui 7 Heydari, Mohammad Hossien 7 Zaky, Mahmoud A. 6 Băleanu, Dumitru I. 6 Feng, Libo 6 Li, Hong 6 Liu, Yang 6 Macías-Díaz, Jorge Eduardo 6 Shen, Shujun 6 Sun, Zhizhong 5 Alikhanov, Anatoly A. 5 Heydari, Mohammadhossein 5 Li, Changpin 5 Machado, José António Tenreiro 5 Yan, Yubin 4 Chen, Wen 4 Dehghan Takht Fooladi, Mehdi 4 Ezz-Eldien, Samer S. 4 Gu, Xian-Ming 4 Hassani, Hossein 4 Huang, Jianfei 4 Huang, Ting-Zhu 4 Khaliq, Abdul Q. M. 4 Sousa, Ercília 4 Sun, Haiwei 4 Sweilam, Nasser Hassan 4 Tang, Yifa 4 Wang, Jinfeng 4 Wu, Guocheng 4 Yu, Qiang 4 Zeng, Fanhai 4 Zhang, Hongmei 3 Abbaszadeh, Mostafa 3 Bazhlekova, Emilia G. 3 Biala, Toheeb A. 3 Ding, Hengfei 3 Doha, Eid H. 3 Du, Ruilian 3 Gao, Guanghua 3 He, Yinnian 3 Hosseininia, M. 3 Huang, Chengming 3 Li, Tao 3 Li, Xiuying 3 Maalek Ghaini, F. M. 3 Shi, Dongyang 3 Sun, Hongguang 3 Tarasov, Vasily E. 3 Wang, Pengde 3 Wang, Yuanming 3 Wei, LeiLei 3 Wu, Boying 3 Xu, Chuanju 3 Zeng, Shengda 3 Zhao, Xuan 3 Zheng, Liancun 2 Ali, Norhashidah Hj. Mohd. 2 Bai, Yu 2 Brunner, Hermann 2 Burrage, Pamela M. 2 Chen, Jinghua 2 Chen, Yiming 2 Chen, Yunkun 2 Deng, Zhenguo 2 Ford, Neville J. 2 Fu, Zhuojia 2 Furati, Khaled M. 2 Gu, Yuantong 2 Hendy, Ahmed S. 2 Hu, Xiuling 2 Ji, Cuicui 2 Jiang, Haiwen 2 Jiang, Xiaoyun 2 Jin, Xiaoqing 2 Karniadakis, George Em 2 Khan, Monzorul 2 Li, Can 2 Li, Yuanlu 2 Lin, Ran 2 Ling, Leevan 2 Liu, Dayan 2 Liu, Jincun 2 Liu, Lin 2 Liu, Qingxia 2 Liu, Yanmei 2 Luo, Weihua 2 Ma, Jingtang 2 Meerschaert, Mark M. 2 Naraghirad, Eskandar 2 Nemati, Somayeh 2 Nguyen Huy Tuan 2 Nguyen, Van Thinh 2 Ren, Jincheng ...and 384 more Authors
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#### Cited in 75 Serials

 30 Journal of Computational Physics 26 Applied Mathematics and Computation 24 Numerical Algorithms 21 Computers & Mathematics with Applications 21 Journal of Computational and Applied Mathematics 14 Applied Numerical Mathematics 13 Fractional Calculus & Applied Analysis 12 Applied Mathematical Modelling 10 Journal of Applied Mathematics and Computing 9 Applied Mathematics Letters 7 Computational and Applied Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 6 Advances in Difference Equations 5 Journal of Scientific Computing 5 Nonlinear Dynamics 5 Abstract and Applied Analysis 5 Advances in Mathematical Physics 4 Mathematical Methods in the Applied Sciences 3 Chaos, Solitons and Fractals 3 SIAM Journal on Scientific Computing 3 Mathematical Problems in Engineering 3 Journal of Applied Analysis and Computation 3 Communications on Applied Mathematics and Computation 2 Acta Mechanica 2 Journal of the Franklin Institute 2 Journal of Mathematical Analysis and Applications 2 BIT 2 Numerical Functional Analysis and Optimization 2 Numerical Methods for Partial Differential Equations 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Engineering Analysis with Boundary Elements 2 Journal of Mathematical Chemistry 2 Journal of Vibration and Control 2 S$$\vec{\text{e}}$$MA Journal 2 International Journal of Applied and Computational Mathematics 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Physics 1 Physica A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Calcolo 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Computational Mathematics and Modeling 1 International Journal of Computer Mathematics 1 Cybernetics and Systems Analysis 1 Advances in Computational Mathematics 1 Complexity 1 Differential Equations and Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Modelling and Control 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Inverse Problems in Science and Engineering 1 Applications and Applied Mathematics 1 Inverse Problems and Imaging 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Differential Equations 1 Science China. Mathematics 1 Journal of Mathematics and Computer Science. JMCS 1 Afrika Matematika 1 Journal of Mahani Mathematical Research Center 1 Axioms 1 Mathematical Sciences 1 East Asian Journal on Applied Mathematics 1 Mathematics 1 International Journal of Analysis and Applications 1 Open Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Cogent Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 32 Fields

 241 Numerical analysis (65-XX) 212 Partial differential equations (35-XX) 72 Real functions (26-XX) 46 Ordinary differential equations (34-XX) 22 Fluid mechanics (76-XX) 21 Integral equations (45-XX) 14 Special functions (33-XX) 10 Approximations and expansions (41-XX) 10 Probability theory and stochastic processes (60-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Biology and other natural sciences (92-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Mechanics of deformable solids (74-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operator theory (47-XX) 3 Difference and functional equations (39-XX) 3 Systems theory; control (93-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operations research, mathematical programming (90-XX)