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

Dag I., DOĞAN A., Saka B.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol.80, no.6, pp.743-757, 2003 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 80 Issue: 6
  • Publication Date: 2003
  • Doi Number: 10.1080/0020716021000038965
  • Journal Name: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.743-757
  • Keywords: collocation, solitary waves, splines, partial differential eqn, LONG-WAVE EQUATION, FINITE-ELEMENT METHOD, DISPERSIVE WAVES, GALERKIN METHODS, MODEL EQUATIONS
  • Abdullah Gül University Affiliated: Yes

Abstract

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.