Quintic B-spline collocation method for numerical solution of the RLW equation

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Saka B., Dag İ., IRK D.

ANZIAM JOURNAL, vol.49, no.3, pp.389-410, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 3
  • Publication Date: 2008
  • Doi Number: 10.1017/s1446181108000072
  • Journal Name: ANZIAM JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.389-410
  • Keywords: RLW equation, collocation, solitary waves, quintic B-splines, undular bore, LONG-WAVE EQUATION, NONLINEAR DISPERSIVE SYSTEMS, FINITE-ELEMENT-METHOD, COMPUTATIONAL METHOD, GALERKIN METHOD, UNDULAR BORE, SCHEME, MODEL
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

Quintic B-spline collocation schemes for numerical solution of the regularized long wave (RLW) equation have been proposed. The schemes are based on the Crank-Nicolson formulation for time integration and quintic B-spline functions for space integration. The quintic B-spline collocation method over finite intervals is also applied to the time-split RLW equation and space-split RLW equation. After stability analysis is applied to all the schemes, the results of the three algorithms are compared by studying the propagation of the solitary wave, interaction of two solitary waves and wave undulation.