Numerical approximation of time-fractional Burgers-type equation

Advances in Difference Equations

article

Yang, Miaomiao¹ 

[1] General Education Center, Zhengzhou Business University

关键词: Time-fractional Burgers-type equation;    Local discontinuous Galerkin method;    Stability analysis;    Error estimates;   

DOI  :  10.1186/s13662-020-02578-0

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this work, we analyze and test a local discontinuous Galerkin method for solving the Burgers-type equation. The proposed numerical method, which is high-order accurate, is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. We prove that the scheme is unconditionally stable and convergent. Some numerical tests are provided to illustrate the accuracy and capability of the scheme.

【 授权许可】

CC BY