Quartic B-spline collocation algorithms for numerical solution of the RLW equation

Saka B., Dag İ.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.23, no.3, pp.731-751, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 3
  • Publication Date: 2007
  • Doi Number: 10.1002/num.20201
  • Journal Name: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.731-751
  • Keywords: RLW equation, collocation, solitary waves, quartic B-splines, undular bore, LONG-WAVE EQUATION, FINITE-ELEMENT-METHOD, NONLINEAR DISPERSIVE SYSTEMS, MODEL-EQUATIONS, COMPUTATIONAL METHOD, GALERKIN METHOD, SOLITARY WAVES, UNDULAR BORE, SCHEME
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

The collocation method based on quartic B-spline interpolation is studied for numerical solution of the regularized long wave (RLW) equation. The time-split RLW equation is also solved with the quartic B-spline collocation method. Numerical accuracy is tested by obtaining the single solitary wave solution. Then, interaction, undulation and evolution of solitary waves are studied. Solutions are compared with available results. Conservation quantities are computed for all test experiments. (c) 2007 Wiley Periodicals, Inc.