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International Journal of Computer Mathematics Volume 94, 2017 - Issue 10
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Original Articles

High-order algorithm for the two-dimension Riesz space-fractional diffusion equation

Yuxin ZhangSchool of Mathematics and Statistics, Tianshui Normal University, Tianshui, ChinaView further author information
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Hengfei DingSchool of Mathematics and Statistics, Tianshui Normal University, Tianshui, ChinaCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-4044-6499View further author information
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Pages 2063-2073 | Received 06 Jun 2016, Accepted 26 Nov 2016, Published online: 13 Jan 2017

Citations (11)

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Dongdong Hu & Xuenian Cao. (2020) A fourth-order compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equation. International Journal of Computer Mathematics 97:9, pages 1928-1948.
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Articles from other publishers (10)

Xue Zhang, Xian-Ming Gu, Yong-Liang Zhao, Hu Li & Chuan-Yun Gu. (2024) Two fast and unconditionally stable finite difference methods for Riesz fractional diffusion equations with variable coefficients. Applied Mathematics and Computation 462, pages 128335.
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Wenwen Shan & Tao Wang. (2023) A two-level linearized scheme for two-dimensional Riesz space fractional nonlinear advection-dispersion equations. A two-level linearized scheme for two-dimensional Riesz space fractional nonlinear advection-dispersion equations.
Manal Alqhtani, Kolade M. Owolabi, Khaled M. Saad & Edson Pindza. (2023) Spatiotemporal chaos in spatially extended fractional dynamical systems. Communications in Nonlinear Science and Numerical Simulation 119, pages 107118.
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Abdollah Borhanifar, Maria Alessandra Ragusa & Sohrab Valizadeh. (2021) High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation. Discrete & Continuous Dynamical Systems - B 26:10, pages 5495.
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Shuiping Yang, Fawang Liu, Libo Feng & Ian W. Turner. (2020) Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients. Applied Numerical Mathematics 157, pages 55-68.
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Omar Abu Arqub & Mohammed Al-Smadi. (2020) An adaptive numerical approach for the solutions of fractional advection–diffusion and dispersion equations in singular case under Riesz’s derivative operator. Physica A: Statistical Mechanics and its Applications 540, pages 123257.
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Mostafa Abbaszadeh & Mehdi Dehghan. (2020) Direct meshless local Petrov–Galerkin (DMLPG) method for time-fractional fourth-order reaction–diffusion problem on complex domains. Computers & Mathematics with Applications 79:3, pages 876-888.
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Samaneh Soradi Zeid. (2019) Approximation methods for solving fractional equations. Chaos, Solitons & Fractals 125, pages 171-193.
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Xue-lei Lin, Michael K. Ng & Hai-Wei Sun. (2019) Crank--Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients. SIAM Journal on Numerical Analysis 57:3, pages 997-1019.
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Xue-lei Lin, Michael K. Ng & Hai-Wei Sun. (2017) Stability and Convergence Analysis of Finite Difference Schemes for Time-Dependent Space-Fractional Diffusion Equations with Variable Diffusion Coefficients. Journal of Scientific Computing 75:2, pages 1102-1127.
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