Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation
Year: 2015
Author: Leilei Wei, Yinnian He, Xindong Zhang
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 4 : pp. 510–527
Abstract
In this paper, we consider a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Korteweg-de Vries (KdV) equation. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. We show that our scheme is unconditionally stable and convergent through analysis. Numerical examples are shown to illustrate the efficiency and accuracy of our scheme.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2013.m220
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 4 : pp. 510–527
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
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