A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations

被引：2
|
作者：
Wei, Leilei [1 ]
Zhang, Xindong [2 ]
机构：
[1] Henan Univ Technol, Dept Math, Zhengzhou 450001, Peoples R China
[2] Xinjiang Normal Univ, Coll Math Sci, Urumqi 830054, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
FINITE-ELEMENT-METHOD;
D O I：
10.1155/2014/898217
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. By choosing the numerical fluxes carefully, we prove that our scheme is unconditionally stable and convergent. Finally, numerical examples are performed to illustrate the effectiveness and the accuracy of the method.
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页数：11
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