Three different methods for numerical solution of the EW equation

Saka B., Dag İ., DERELİ Y., Korkmaz A.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol.32, no.7, pp.556-566, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 7
  • Publication Date: 2008
  • Doi Number: 10.1016/j.enganabound.2007.11.002
  • Journal Name: ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.556-566
  • Keywords: EW equation, Galerkin, differential quadrature, radial-basis functions, solitary waves, WIDTH WAVE-EQUATION, RADIAL BASIS FUNCTIONS, FINITE-ELEMENT SCHEME, GALERKIN METHOD, SOLITARY WAVES, B-SPLINES, QUADRATURE
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

Numerical solutions of the equal width wave (EW) equation are obtained by using a Galerkin method with quartic B-spline finite elements, a differential quadrature method with cosine expansion basis and a meshless method with radial-basis functions. Solitary wave motion, interaction of two solitary waves and wave undulation are studied to validate the accuracy and efficiency of the proposed methods. Comparisons are made with analytical solutions and those of some earlier papers. The accuracy and efficiency are discussed by computing the numerical conserved laws and L-2, L-infinity error norms. (C) 2007 Elsevier Ltd. All rights reserved.