Abstract and Applied Analysis

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

Leilei Wei and Xindong Zhang

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 898217, 11 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277165

Digital Object Identifier
doi:10.1155/2014/898217

Mathematical Reviews number (MathSciNet)
MR3253586

Zentralblatt MATH identifier
07023272

Citation

Wei, Leilei; Zhang, Xindong. A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations. Abstr. Appl. Anal. 2014 (2014), Article ID 898217, 11 pages. doi:10.1155/2014/898217. https://projecteuclid.org/euclid.aaa/1412277165


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