Hermite pseudospectral method for nonlinear partial differential equations

被引：0

作者：

Guo, BY ^{[1
]}

Xu, CL

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 201800, Peoples R China

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2000年 / 34卷 / 04期

关键词：

hermite pseudospectral approximation; nonlinear partial differential equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Hermite polynomial interpolation is investigated. Some approximation results are obtained. As an example, the Burgers equation on the whole line is considered. The stability and the convergence of proposed Hermite pseudospectral scheme are proved strictly. Numerical results are presented.

引用

页码：859 / 872

页数：14

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