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

DOI10.1080/00207160.2016.1274746zbMath1394.65082OpenAlexW2566773557MaRDI QIDQ3174883

Yu-Xin Zhang, Heng-Fei Ding

Publication date: 18 July 2018

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2016.1274746

zbMATH Keywords

Riesz derivativeCrank-Nicolson techniquesecond-order numerical approximation formula

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Algorithms for approximation of functions (65D15) Numerical differentiation (65D25) Fractional partial differential equations (35R11)

Related Items (11)

Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay ⋮ Stability and convergence analysis of finite difference schemes for time-dependent space-fractional diffusion equations with variable diffusion coefficients ⋮ Two fast and unconditionally stable finite difference methods for Riesz fractional diffusion equations with variable coefficients ⋮ Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients ⋮ Spatiotemporal chaos in spatially extended fractional dynamical systems ⋮ Approximation methods for solving fractional equations ⋮ Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains ⋮ High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation ⋮ An adaptive numerical approach for the solutions of fractional advection-diffusion and dispersion equations in singular case under Riesz's derivative operator ⋮ Crank--Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients ⋮ A fourth-order compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equation

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