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

作者：Wei, Leilei; He, Yinnian^*; Zhang, Xindong

来源：Advances in Applied Mathematics and Mechanics, 2015, 7(4): 510-527.

DOI：10.4208/aamm.2013.m220

• Time-fractional partial differential equations
• Kdv equation
• local discontinuous Galerkin method
• stability
• error estimates

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.

• 出版日期2015-8
• 单位新疆师范大学; 河南工业大学; 西安交通大学