Galerkin method for the numerical solution of the RLW equation using quintic B-splines

Dag İ., Saka B., Irk D.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol.190, pp.532-547, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 190
  • Publication Date: 2006
  • Doi Number: 10.1016/j.cam.2005.04.026
  • Journal Name: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.532-547
  • Keywords: finite elements, galerkin, splines, solitary waves, LONG-WAVE EQUATION, FINITE-ELEMENT-METHOD, NONLINEAR DISPERSIVE SYSTEMS, SCHEME, MODEL
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

The regularized long wave equation (RLW) is solved numerically by using the quintic B-spline Galerkin finite element method. The same method is applied to the time-split RLW equation. Comparison is made with both analytical solutions and some previous results. Propagation of solitary waves, interaction of two solitons are studied. (c) 2005 Elsevier B.V. All rights reserved.