The local discontinuous Galerkin method for Burger's-Huxley and Burger's-Fisher equations

被引：34

作者：

Zhang, Rongpei ^{[1
]}

Yu, Xijun ^{[2
]}

Zhao, Guozhong ^{[2
]}

机构：

[1] Liaoning ShiHua Univ, Sch Sci, Fushun 113001, Peoples R China

[2] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 17期

关键词：

Local discontinuous Galerkin method; Burger's-Huxley equation; Burger's-Fisher equation; FINITE-ELEMENT-METHOD; NUMERICAL-SOLUTION;

D O I：

10.1016/j.amc.2012.02.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a numerical solution for the generalized Burger's-Huxley equation and the generalized Burger's-Fisher equation are presented by using the local discontinuous Galerkin method. Firstly we rewrite the two kinds of equations into first order systems, then apply the discontinuous Galerkin method to the systems. Secondly, the systems for ordinary differential equations yielded are solved by the third-order Runge-Kutta time integration method. The numerical results obtained by this way are compared with exact solution to demonstrate accuracy and capability of the method. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：8773 / 8778

页数：6

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