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International Journal of Computer Mathematics Volume 91, 2014 - Issue 9
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Section B

A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation

Xindong ZhangSchool of Mathematics Sciences, Xinjiang Normal University, Urumqi, Xinjiang830054, ChinaCorrespondence[email protected]
,
Yinnian HeCenter for Computational Geosciences, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shanxi710049, China
,
Leilei WeiCollege of Science, Henan University of Technology, Zhengzhou, Henan450001, China
,
Bo TangCenter for Computational Geosciences, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shanxi710049, China
&
Shaoli WangCenter for Computational Geosciences, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shanxi710049, China
Pages 2021-2038 | Received 14 Nov 2011, Accepted 10 Nov 2013, Published online: 26 Mar 2014

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Lisha Wang, Wendi Qin & Xiaohua Ding. (2018) Dissipativity of θ-methods for a class of advection–reaction–diffusion equations with both fixed and distributed delays. International Journal of Computer Mathematics 95:8, pages 1672-1687.
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Jafar Eshaghi, Hojatollah Adibi & Saeed Kazem. (2017) On a numerical investigation of the time fractional Fokker– Planck equation via local discontinuous Galerkin method. International Journal of Computer Mathematics 94:9, pages 1916-1942.
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Xiaogang Zhu, Yufeng Nie, Jungang Wang & Zhanbin Yuan. (2017) A numerical approach for the Riesz space-fractional Fisher' equation in two-dimensions. International Journal of Computer Mathematics 94:2, pages 296-315.
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Li Guo, Zhibo Wang & Seakweng Vong. (2016) Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems. International Journal of Computer Mathematics 93:10, pages 1665-1682.
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Articles from other publishers (13)

Bilge İnan. (2024) The Generalized Fractional-Order Fisher Equation: Stability and Numerical Simulation. Symmetry 16:4, pages 393.
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Fangfang Wu, Chuangui Lu, Yingying Wang & Na Hu. (2023) Lattice Boltzmann Model for a Class of Time Fractional Partial Differential Equation. Axioms 12:10, pages 959.
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Renu Choudhary, Satpal Singh & Devendra Kumar. (2023) A high‐order numerical technique for generalized time‐fractional Fisher's equation. Mathematical Methods in the Applied Sciences 46:15, pages 16050-16071.
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Ren Liu & Lifei Wu. (2023) Numerical Approach for Solving Two-Dimensional Time-Fractional Fisher Equation via HABC-N Method. Communications on Applied Mathematics and Computation.
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Mauricio A. Londoño, Ramón Giraldo & Francisco J. Rodríguez-Cortés. (2023) An RBF-FD method for the time-fractional advection–dispersion equation with nonlinear source term. Engineering Analysis with Boundary Elements 151, pages 565-574.
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Ren Liu, Xiaozhong Yang & Peng Lyu. (2022) A New Parallelized Computation Method of HASC-N Difference Scheme for Inhomogeneous Time Fractional Fisher Equation. Fractal and Fractional 6:5, pages 259.
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J.E. Macías-Díaz & A. Gallegos. (2022) Design and numerical analysis of a logarithmic scheme for nonlinear fractional diffusion–reaction equations. Journal of Computational and Applied Mathematics 404, pages 113118.
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Xiao Qin, Xiaozhong Yang & Peng Lyu. (2021) A class of explicit implicit alternating difference schemes for generalized time fractional Fisher equation. AIMS Mathematics 6:10, pages 11449-11466.
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Carlos E. Mejía & Alejandro Piedrahita. (2019) A numerical method for a time-fractional advection–dispersion equation with a nonlinear source term. Journal of Applied Mathematics and Computing 61:1-2, pages 593-609.
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Jafar Eshaghi, Saeed Kazem & Hojjatollah Adibi. (2018) The local discontinuous Galerkin method for 2D nonlinear time-fractional advection–diffusion equations. Engineering with Computers 35:4, pages 1317-1332.
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Qinwu Xu & Yufeng Xu. (2018) Extremely low order time-fractional differential equation and application in combustion process. Communications in Nonlinear Science and Numerical Simulation 64, pages 135-148.
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Dongfang Li, Jiwei Zhang & Zhimin Zhang. (2018) Unconditionally Optimal Error Estimates of a Linearized Galerkin Method for Nonlinear Time Fractional Reaction–Subdiffusion Equations. Journal of Scientific Computing 76:2, pages 848-866.
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J. E. Macías-Díaz. (2017) Existence and Uniqueness of Positive and Bounded Solutions of a Discrete Population Model with Fractional Dynamics. Discrete Dynamics in Nature and Society 2017, pages 1-7.
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