A Petrov-Galerkin method for equal width equation

被引：5
|
作者：
Roshan, Thoudam [1 ]
机构：
[1] Manipur Univ, Imphal 795003, Manipur, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 06期
关键词：
Finite element; Petrov-Galerkin; Product approximation; Quadratic B-spline; Solitary wave; Soliton; SOLITARY WAVES; UNDULAR BORE; EW EQUATION;
D O I：
10.1016/j.amc.2011.08.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The equal width equation is solved numerically by Petrov-Galerkin method using linear hat function and quadratic B-spline function as trial and test functions respectively. Product approximation has been used in this method. A linear stability analysis of the scheme is shown to be conditionally stable. Test problems including the single soliton and the interaction of solitons are used to validate the suggested method, which is found to be accurate and efficient. The Maxwellian initial condition pulse and the development of an undular bore are also studied. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：2730 / 2739
页数：10
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