Least-squares quadratic B-spline finite element method for the regularised long wave equation

被引：80

作者：

Dag, I ^{[1
]}

机构：

[1] Univ Osmangazi, Fac Arts & Sci, Dept Math, TR-26480 Eskisehir, Turkey

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2000年 / 182卷 / 1-2期

关键词：

D O I：

10.1016/S0045-7825(99)00106-1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An approximate solution consisting of a combination of the quadratic B-spline functions is incorporated into the least-squares method. An application of this method is presented for computing the solution of the Regularised Long Wave (RLW) equation. Quadratic B-spline solution of the RLW equation leads to tridiagonal matrix system which is solved easily by using the Thomas algorithm. Performance of this scheme is tested by obtaining a solitary wave solution of the equation and by studying the development of the undular bore, Numerical results of the proposed algorithm is shown to have higher accuracy in terms of L-2-error norm compared studying the migration of the solitary wave. A Fourier stability analysis of the method is investigated. (C) 2000 Elsevier Science S.A. All rights reserved.

引用

页码：205 / 215

页数：11