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Author ID: guo.shimin Recent zbMATH articles by "Guo, Shimin"
Published as: Guo, Shimin
Documents Indexed: 37 Publications since 2000
Co-Authors: 39 Co-Authors with 36 Joint Publications
1,389 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 387 times in 322 Documents Cited by Year
The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics. Zbl 1255.37022
Guo, Shimin; Mei, Liquan; Li, Ying; Sun, Youfa
88
2012
The extended \(\left( \frac {G^{\prime}}{G}\right)\)-expansion method and its applications to the Whitham-Broer-Kaup-like equations and coupled Hirota-Satsuma KdV equations. Zbl 1187.35209
Guo, Shimin; Zhou, Yubin
43
2010
The fractional variational iteration method using He’s polynomials. Zbl 1241.35216
Guo, Shimin; Mei, Liquan
39
2011
Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation. Zbl 1404.65089
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Jiang, Yutao
38
2018
An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation. Zbl 1402.65124
Guo, Shimin; Mei, Liquan; Li, Ying
25
2017
Triply periodic minimal surface using a modified Allen-Cahn equation. Zbl 1411.82029
Li, Yibao; Guo, Shimin
16
2017
Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation. Zbl 1273.65157
Guo, Shimin; Mei, Liquan; Li, Ying
14
2013
Finite difference/Hermite-Galerkin spectral method for multi-dimensional time-fractional nonlinear reaction-diffusion equation in unbounded domains. Zbl 1464.65141
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Chen, Jie; He, Yuan; Li, Ying
13
2019
A linearized finite difference/spectral-Galerkin scheme for three-dimensional distributed-order time-space fractional nonlinear reaction-diffusion-wave equation: numerical simulations of Gordon-type solitons. Zbl 07685722
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Li, Can; Li, Mingjun; Wang, Ying
11
2020
An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons. Zbl 07683935
Guo, Shimin; Mei, Liquan; Hou, Yanren; Zhang, Zhengqiang
11
2019
Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains. Zbl 07527722
Guo, Shimin; Li, Can; Li, Xiaoli; Mei, Liquan
10
2022
Auxiliary equation method for the mKdV equation with variable coefficients. Zbl 1203.35222
Guo, Shimin; Zhou, Yubin
9
2010
Time-fractional Schamel-KdV equation for dust-ion-acoustic waves in pair-ion plasma with trapped electrons and opposite polarity dust grains. Zbl 1364.35309
Guo, Shimin; Mei, Liquan; He, Yaling; Li, Yibao
8
2016
Semi-implicit Hermite-Galerkin spectral method for distributed-order fractional-in-space nonlinear reaction-diffusion equations in multidimensional unbounded domains. Zbl 1452.65274
Guo, Shimin; Mei, Liquan; Li, Can; Zhang, Zhengqiang; Li, Ying
7
2020
Dissipation-preserving rational spectral-Galerkin method for strongly damped nonlinear wave system involving mixed fractional Laplacians in unbounded domains. Zbl 1503.65262
Guo, Shimin; Yan, Wenjing; Li, Can; Mei, Liquan
6
2022
Compacton and solitary pattern solutions for nonlinear dispersive KdV-type equations involving Jumarie’s fractional derivative. Zbl 1255.35218
Guo, Shimin; Mei, Liquan; Fang, Ye; Qiu, Zhiyu
6
2012
IMEX Hermite-Galerkin spectral schemes with adaptive time stepping for the coupled nonlocal Gordon-type systems in multiple dimensions. Zbl 1484.65250
Guo, Shimin; Mei, Liquan; Li, Can; Yan, Wenjing; Gao, Jinghuai
6
2021
The improved \((\frac{G^{\prime}}{G})\)-expansion method and its applications to the Broer-Kaup equations and approximate long water wave equations. Zbl 1311.76013
Guo, Shimin; Zhou, Yubin; Zhao, Chenxia
6
2010
The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations. Zbl 1210.35210
Guo, Shimin; Mei, Liquan; Zhou, Yubin; Li, Chao
6
2011
The compound \(\left(\frac{G'}{G}\right)\)-expansion method and double non-traveling wave solutions of \((2+1)\)-dimensional nonlinear partial differential equations. Zbl 1443.35125
Guo, Shimin; Mei, Liquan; Zhou, Yubin
5
2015
Mass-, energy-, and momentum-preserving spectral scheme for Klein-Gordon-Schrödinger system on infinite domains. Zbl 1521.65097
Guo, Shimin; Mei, Liquan; Yan, Wenjing; Li, Ying
4
2023
Analysis of an affine version of the Heston-Hull-White option pricing partial differential equation. Zbl 1300.91048
Guo, Shimin; Grzelak, Lech A.; Oosterlee, Cornelis W.
4
2013
Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions. Zbl 1486.65113
Li, Can; Wang, Haihong; Yue, Hongyun; Guo, Shimin
3
2022
Nonlinear ion-acoustic structures in a nonextensive electron-positron-ion-dust plasma: modulational instability and rogue waves. Zbl 1342.82134
Guo, Shimin; Mei, Liquan; Sun, Anbang
3
2013
A linearized spectral-Galerkin method for three-dimensional Riesz-like space fractional nonlinear coupled reaction-diffusion equations. Zbl 1488.65501
Guo, Shimin; Yan, Wenjing; Mei, Liquan; Wang, Ying; Wang, Lingling
2
2021
Efficient linear schemes with unconditional energy stability for the phase field model of solid-state dewetting problems. Zbl 1463.65291
Chen, Jie; He, Zhengkang; Sun, Shuyu; Guo, Shimin; Chen, Zhangxin
2
2020
Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains. Zbl 1524.65652
Guo, Shimin; Chen, Yaping; Mei, Liquan; Song, Yining
1
2021
Stochastic volatility double-jump-diffusions model: the importance of distribution type of jump amplitude. Zbl 1367.91198
Sun, Youfa; Liu, Caiyan; Guo, Shimin
1
2017
Mass-, energy-, and momentum-preserving spectral scheme for Klein-Gordon-Schrödinger system on infinite domains. Zbl 1521.65097
Guo, Shimin; Mei, Liquan; Yan, Wenjing; Li, Ying
4
2023
Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains. Zbl 07527722
Guo, Shimin; Li, Can; Li, Xiaoli; Mei, Liquan
10
2022
Dissipation-preserving rational spectral-Galerkin method for strongly damped nonlinear wave system involving mixed fractional Laplacians in unbounded domains. Zbl 1503.65262
Guo, Shimin; Yan, Wenjing; Li, Can; Mei, Liquan
6
2022
Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions. Zbl 1486.65113
Li, Can; Wang, Haihong; Yue, Hongyun; Guo, Shimin
3
2022
IMEX Hermite-Galerkin spectral schemes with adaptive time stepping for the coupled nonlocal Gordon-type systems in multiple dimensions. Zbl 1484.65250
Guo, Shimin; Mei, Liquan; Li, Can; Yan, Wenjing; Gao, Jinghuai
6
2021
A linearized spectral-Galerkin method for three-dimensional Riesz-like space fractional nonlinear coupled reaction-diffusion equations. Zbl 1488.65501
Guo, Shimin; Yan, Wenjing; Mei, Liquan; Wang, Ying; Wang, Lingling
2
2021
Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains. Zbl 1524.65652
Guo, Shimin; Chen, Yaping; Mei, Liquan; Song, Yining
1
2021
A linearized finite difference/spectral-Galerkin scheme for three-dimensional distributed-order time-space fractional nonlinear reaction-diffusion-wave equation: numerical simulations of Gordon-type solitons. Zbl 07685722
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Li, Can; Li, Mingjun; Wang, Ying
11
2020
Semi-implicit Hermite-Galerkin spectral method for distributed-order fractional-in-space nonlinear reaction-diffusion equations in multidimensional unbounded domains. Zbl 1452.65274
Guo, Shimin; Mei, Liquan; Li, Can; Zhang, Zhengqiang; Li, Ying
7
2020
Efficient linear schemes with unconditional energy stability for the phase field model of solid-state dewetting problems. Zbl 1463.65291
Chen, Jie; He, Zhengkang; Sun, Shuyu; Guo, Shimin; Chen, Zhangxin
2
2020
Finite difference/Hermite-Galerkin spectral method for multi-dimensional time-fractional nonlinear reaction-diffusion equation in unbounded domains. Zbl 1464.65141
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Chen, Jie; He, Yuan; Li, Ying
13
2019
An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons. Zbl 07683935
Guo, Shimin; Mei, Liquan; Hou, Yanren; Zhang, Zhengqiang
11
2019
Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation. Zbl 1404.65089
Guo, Shimin; Mei, Liquan; Zhang, Zhengqiang; Jiang, Yutao
38
2018
An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation. Zbl 1402.65124
Guo, Shimin; Mei, Liquan; Li, Ying
25
2017
Triply periodic minimal surface using a modified Allen-Cahn equation. Zbl 1411.82029
Li, Yibao; Guo, Shimin
16
2017
Stochastic volatility double-jump-diffusions model: the importance of distribution type of jump amplitude. Zbl 1367.91198
Sun, Youfa; Liu, Caiyan; Guo, Shimin
1
2017
Time-fractional Schamel-KdV equation for dust-ion-acoustic waves in pair-ion plasma with trapped electrons and opposite polarity dust grains. Zbl 1364.35309
Guo, Shimin; Mei, Liquan; He, Yaling; Li, Yibao
8
2016
The compound \(\left(\frac{G'}{G}\right)\)-expansion method and double non-traveling wave solutions of \((2+1)\)-dimensional nonlinear partial differential equations. Zbl 1443.35125
Guo, Shimin; Mei, Liquan; Zhou, Yubin
5
2015
Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation. Zbl 1273.65157
Guo, Shimin; Mei, Liquan; Li, Ying
14
2013
Analysis of an affine version of the Heston-Hull-White option pricing partial differential equation. Zbl 1300.91048
Guo, Shimin; Grzelak, Lech A.; Oosterlee, Cornelis W.
4
2013
Nonlinear ion-acoustic structures in a nonextensive electron-positron-ion-dust plasma: modulational instability and rogue waves. Zbl 1342.82134
Guo, Shimin; Mei, Liquan; Sun, Anbang
3
2013
The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics. Zbl 1255.37022
Guo, Shimin; Mei, Liquan; Li, Ying; Sun, Youfa
88
2012
Compacton and solitary pattern solutions for nonlinear dispersive KdV-type equations involving Jumarie’s fractional derivative. Zbl 1255.35218
Guo, Shimin; Mei, Liquan; Fang, Ye; Qiu, Zhiyu
6
2012
The fractional variational iteration method using He’s polynomials. Zbl 1241.35216
Guo, Shimin; Mei, Liquan
39
2011
The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations. Zbl 1210.35210
Guo, Shimin; Mei, Liquan; Zhou, Yubin; Li, Chao
6
2011
The extended \(\left( \frac {G^{\prime}}{G}\right)\)-expansion method and its applications to the Whitham-Broer-Kaup-like equations and coupled Hirota-Satsuma KdV equations. Zbl 1187.35209
Guo, Shimin; Zhou, Yubin
43
2010
Auxiliary equation method for the mKdV equation with variable coefficients. Zbl 1203.35222
Guo, Shimin; Zhou, Yubin
9
2010
The improved \((\frac{G^{\prime}}{G})\)-expansion method and its applications to the Broer-Kaup equations and approximate long water wave equations. Zbl 1311.76013
Guo, Shimin; Zhou, Yubin; Zhao, Chenxia
6
2010
all top 5

Cited by 587 Authors

19 Guo, Shimin
16 Mei, Liquan
10 Li, Hong
10 Liu, Yang
9 Ali Akbar, M.
9 Li, Yibao
8 Kim, Junseok
6 He, Yinghui
6 Inc, Mustafa
6 Li, Ying
6 Nguyen Huy Tuan
6 Yu, Qian
6 Zheng, Bin
5 Bekir, Ahmet
5 Feng, Qinghua
5 Hu, Dongdong
5 Jiang, Xiaoyun
5 Xia, Qing
5 Yang, Huizhang
5 Yin, Baoli
5 Zhang, Hui
5 Zhao, Yunmei
5 Zheng, Xiaoxiao
4 Abdel-Salam, Emad A-B.
4 Abdullah, Farah Aini
4 Băleanu, Dumitru I.
4 Baskonus, Haci Mehmet
4 Güner, Özkan
4 Mirzazadeh, Mohammad
4 Wang, Jinfeng
4 Xia, Binhu
4 Xu, Yuanqing
4 Yang, Hongwei
4 Yang, Junxiang
4 Yousif, Eltayeb A.
4 Zhang, Xindong
4 Zhang, Zhengqiang
4 Zhou, Yubin
3 Aliyu, Aliyu Isa
3 Biswas, Anjan
3 Borges, Ernesto P.
3 Fei, Mingfa
3 Ghosh, Uttam
3 Gomez, Ignacio S.
3 He, Bin
3 He, Ji-Huan
3 Huang, Chengming
3 Khan, Kamruzzaman
3 Li, Chao
3 Li, Hongwei
3 Li, Wei
3 Liu, Fawang
3 Machado, José António Tenreiro
3 Meng, Fanwei
3 Naher, Hasibun
3 Sönmezoğlu, Abdullah
3 Tan, Zhijun
3 Tang, Bo
3 Wang, Gangwei
3 Wang, Yushun
3 Wei, LeiLei
3 Xin, Jie
3 Yan, Wenjing
3 Yusuf, Abdullahi A.
3 Zhou, Yong
2 Abdou, Mohamed Aly Mohamed
2 Ali, Norhashidah Hj. Mohd.
2 Belić, Milivoj R.
2 Cai, Wenjun
2 Cattani, Carlo
2 Cevikel, Adem Cengiz
2 Chand, Fakir
2 Chechkin, Aleksei V.
2 Ciancio, Armando
2 Derakhshan, Mohammad Hossein
2 Dong, Huanhe
2 Du, Rui
2 Dybiec, Bartłomiej
2 Ekici, Mehmet
2 El-Ajou, Ahmad
2 El Bahi, Maria Ihsane
2 El-Kalaawy, Omar H.
2 Fang, Zhichao
2 Feng, Xiaoli
2 Fu, Yayun
2 Ganji, Davood Domiri
2 Gao, Xinyi
2 Guo, Min
2 Guo, Qilong
2 Guo, Yongjiang
2 Hafiz Uddin, M.
2 Hesameddini, Esmail
2 Hilal, Khalid
2 Hou, Yanren
2 Inan, İbrahim Enam
2 Jafari, Hossein
2 Jang, Bongsoo
2 Jesus, Carla
2 Jia, Junqing
2 Jiang, Huiling
...and 487 more Authors
all top 5

Cited in 95 Serials

23 Computers & Mathematics with Applications
17 Mathematical Methods in the Applied Sciences
16 Mathematical Problems in Engineering
13 Applied Mathematics and Computation
13 Abstract and Applied Analysis
10 Communications in Nonlinear Science and Numerical Simulation
9 Journal of Applied Mathematics
9 Advances in Difference Equations
8 Applied Mathematics Letters
8 Waves in Random and Complex Media
7 Numerical Algorithms
7 Applied Mathematical Modelling
6 Physics Letters. A
6 Chaos, Solitons and Fractals
6 Mathematics and Computers in Simulation
6 Applied Numerical Mathematics
6 Chinese Journal of Physics (Taipei)
6 Advances in Mathematical Physics
5 Journal of Computational and Applied Mathematics
5 Numerical Methods for Partial Differential Equations
5 AIMS Mathematics
4 Journal of Computational Physics
4 Physica A
4 Journal of Scientific Computing
4 International Journal of Computer Mathematics
4 SIAM Journal on Scientific Computing
4 Complexity
4 Engineering Analysis with Boundary Elements
4 Communications in Theoretical Physics
4 Journal of Applied Analysis and Computation
3 Computer Physics Communications
3 Computational and Applied Mathematics
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Nonlinear Dynamics
3 Qualitative Theory of Dynamical Systems
3 Nonlinear Analysis. Modelling and Control
3 Networks and Heterogeneous Media
3 Computational Methods for Differential Equations
2 Computer Methods in Applied Mechanics and Engineering
2 Calcolo
2 Mathematical and Computer Modelling
2 Advances in Computational Mathematics
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Applied Mathematics and Computing
2 Journal of Physics A: Mathematical and Theoretical
2 Discrete and Continuous Dynamical Systems. Series S
2 Asian-European Journal of Mathematics
2 Evolution Equations and Control Theory
2 Journal of Function Spaces
2 International Journal of Applied and Computational Mathematics
2 Cogent Mathematics
1 Letters in Mathematical Physics
1 Nonlinearity
1 Reports on Mathematical Physics
1 Wave Motion
1 Journal of Geometry and Physics
1 Fuzzy Sets and Systems
1 Journal of Statistical Planning and Inference
1 Meccanica
1 SIAM Journal on Numerical Analysis
1 Physica D
1 Japan Journal of Industrial and Applied Mathematics
1 Advances in Engineering Software
1 Tatra Mountains Mathematical Publications
1 Journal of the Egyptian Mathematical Society
1 Fractals
1 ETNA. Electronic Transactions on Numerical Analysis
1 Differential Equations and Dynamical Systems
1 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Chaos
1 Discrete Dynamics in Nature and Society
1 Journal of Mathematical Study
1 Applied Sciences
1 Journal of Nonlinear Mathematical Physics
1 Journal of Evolution Equations
1 Applied Mathematics E-Notes
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Entropy
1 International Journal of Computational Methods
1 Journal of Statistical Mechanics: Theory and Experiment
1 Boundary Value Problems
1 Numerical Mathematics: Theory, Methods and Applications
1 Tbilisi Mathematical Journal
1 Journal of Nonlinear Science and Applications
1 Advances in Applied Mathematics and Mechanics
1 GEM - International Journal on Geomathematics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Symmetry
1 Annalen der Physik
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Results in Applied Mathematics
1 Russian Journal of Nonlinear Dynamics

Citations by Year