B-Spline Collocation Algorithms for Numerical Solution of the RLW Equation

SAKA B., Sahin A., Dag İ.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.27, no.3, pp.581-607, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.1002/num.20540
  • Journal Name: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.581-607
  • Keywords: collocation, partial differential equations, solitary waves, spline, LONG-WAVE EQUATION, FINITE-ELEMENT-METHOD, SOLITARY WAVES, COMPUTATIONAL METHOD, GALERKIN METHOD, UNDULAR BORE, SCHEME
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

Both sextic and septic B-spline collocation algorithms are presented for the numerical solutions of the RLW equation. Numerical results resolve the fine structure of the single solitary wave propagation, two and three solitary waves interaction, and evolution of solitary waves. Comparison of the numerical results is done by the results of some earlier schemes mentioned in the article. (c) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 581-607, 2011