A numerical solution of the RLW equation by Galerkin method using quartic B-splines


Saka B., Dag İ.

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, vol.24, no.11, pp.1339-1361, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 11
  • Publication Date: 2008
  • Doi Number: 10.1002/cnm.1036
  • Journal Name: COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1339-1361
  • Keywords: finite elements, Galerkin method, quartic B-spline, solitary waves, LONG-WAVE EQUATION, FINITE-ELEMENT-METHOD, PSEUDOSPECTRAL METHOD, COMPUTATIONAL METHOD, COLLOCATION METHOD, SOLITARY WAVES, SCHEME
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

Galerkin finite element method based on quartic B-splines is used to find a numerical solution of the regularized long wave equation. The method is tested on the problems of propagation of solitary waves, interaction of two and three solitary waves, undulation and wave generation. Comparisons are made with both analytical solutions and results of some published methods. Accuracy and efficiency of' the scherne are discussed by computing numerical conserved laws and L-2, L-infinity error norins. Copyright (C) 2007 John Wiley & Sons, Ltd.