A numerical solution of the equal width wave equation by a lumped Galerkin method

Esen A.

APPLIED MATHEMATICS AND COMPUTATION, vol.168, no.1, pp.270-282, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 168 Issue: 1
  • Publication Date: 2005
  • Doi Number: 10.1016/j.amc.2004.08.013
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.270-282
  • Keywords: EW equation, lumped Galerkin method, splines, solitary waves, undular bore, SOLITARY WAVES, EW EQUATION
  • Inonu University Affiliated: Yes

Abstract

In this paper, the equal width wave (EW) equation is solved by a numerical technique based on a lumped Galerkin method using quadratic B-spline finite elements to investigate the motion of a single solitary wave, development of two solitary waves interaction and an undular bore. The obtained results are compared with published numerical solutions. A linear stability analysis of the method is also investigated. (c) 2004 Elsevier Inc. All rights reserved.