Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation-Reference-Cited by-同舟云学术

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

Published:2015-05-29 Issue:4 Volume:7 Page:510-527
ISSN:2070-0733
Container-title:Advances in Applied Mathematics and Mechanics
language:en
Short-container-title:Adv. Appl. Math. Mech.

Author:

Wei Leilei,He Yinnian,Zhang Xindong

Abstract

AbstractIn 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.

Publisher

Global Science Press

Subject

Applied Mathematics,Mechanical Engineering

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