B-spline collocation methods for numerical solutions of the RLW equation

被引：48

作者：

Dag, I ^{[1
]}

Dogan, A

Saka, B

机构：

[1] Univ Osmangazi, Dept Math, Eskisehir, Turkey

[2] Univ Nigde, Dept Math, Nigde, Turkey

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2003年 / 80卷 / 06期

关键词：

collocation; solitary waves; splines; partial differential eqn;

D O I：

10.1080/0020716021000038965

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The numerical solution of the RLW equation is obtained by using a splitting up technique and both quadratic and cubic B-splines. Both quadratic and cubic B-spline collocation methods are applied to the resulting equation. Solutions without splitting the RLW equation are also obtained with the method of the cubic collocation method. Results are substantiated by studying propagation of a solitary wave and undular bore development. Comparison is made with results of the proposed schemes.

引用

页码：743 / 757

页数：15

共 22 条

[1] GALERKIN METHODS APPLIED TO SOME MODEL EQUATIONS FOR NONLINEAR DISPERSIVE WAVES [J].