A Local Discontinuous Galerkin Method for Two-Dimensional Time Fractional Diffusion Equations

被引：5

作者：

Yeganeh, Somayeh ^{[1
]}

Mokhtari, Reza ^{[1
]}

Hesthaven, Jan S. ^{[2
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

[2] Ecole Polytech Fed Lausanne, EPFL SB MATHICES MCSS, CH-1015 Lausanne, Switzerland

来源：

COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 2卷 / 04期

关键词：

Two-dimensional (2D) time fractional diffusion equation; Local discontinuous Galerkin method (LDG); Numerical stability; Convergence analysis; 65M60; 65M12; FINITE-DIFFERENCE METHOD; NUMERICAL APPROXIMATION; SPECTRAL METHOD; ELEMENT-METHOD; SUBDIFFUSION; SUPERCONVERGENCE; SCHEME;

D O I：

10.1007/s42967-020-00065-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For two-dimensional (2D) time fractional diffusion equations, we construct a numerical method based on a local discontinuous Galerkin (LDG) method in space and a finite difference scheme in time. We investigate the numerical stability and convergence of the method for both rectangular and triangular meshes and show that the method is unconditionally stable. Numerical results indicate the effectiveness and accuracy of the method and confirm the analysis.

引用

页码：689 / 709

页数：21

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