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

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

Keywords:   

Author Details

Leilei Wei

Yinnian He

Xindong Zhang

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