Legendre-Galerkin method for nonlinear partial differential equations

被引:0
|
作者
Liu, Jun [1 ]
Fan, XinYue [1 ]
机构
[1] Guizhou Univ, Sch Math & Stat, Dept Comp Sci, Guiyang, Guizhou, Peoples R China
来源
PROCEEDINGS OF THE 2017 6TH INTERNATIONAL CONFERENCE ON MEASUREMENT, INSTRUMENTATION AND AUTOMATION (ICMIA 2017) | 2017年 / 154卷
关键词
Legendre-Galerkin method; Burgers equation; Error estimate;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, a Legendre-Galerkin method is proposed and analyzed for the Burgers equation with dirichlet boundary condition. We present in this paper the error estimation concerning Legendre approximations in Sobolev spaces, in which integration is performed with respect to the Legendre weight omega(x) = 1. It is shown that the Legendre-Galerkin approximations are convergent on the interval [-1,1] with spectral accuracy. An efficient and accurate algorithm based on the Legendre-Galerkin approximations to the Burgers equation is developed and implemented. Finally the numerical results which indicate that the high accuracy and effectiveness of this algorithm are presented.
引用
收藏
页码:391 / 401
页数:11
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