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Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation

Published online by Cambridge University Press:  29 May 2015

Leilei Wei
Affiliation:
College of Science, Henan University of Technology, Zhengzhou 450001, China
Yinnian He*
Affiliation:
Center for Computational Geosciences, School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China
Xindong Zhang
Affiliation:
College of Mathematics Sciences, Xinjiang Normal University, Urumqi 830054, China
*
*Corresponding author. Email: leileiwei09@gmail.com (L. Wei), heyn@mail.xjtu.edu.cn (Y. He), liaoyuan1126@163.com (X. Zhang)
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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.

Type
Research Article
Copyright
Copyright © Global-Science Press 2015 

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Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation
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