Numerical solution of RLW equation using linear finite elements within Galerkin's method

DOĞAN A.

APPLIED MATHEMATICAL MODELLING, vol.26, no.7, pp.771-783, 2002 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 7
  • Publication Date: 2002
  • Doi Number: 10.1016/s0307-904x(01)00084-1
  • Journal Name: APPLIED MATHEMATICAL MODELLING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.771-783
  • Keywords: RLW equation, finite element methods, Galerkin, LONG-WAVE EQUATION, UNDULAR BORE, SCHEME
  • Abdullah Gül University Affiliated: Yes

Abstract

The regularised long wave equation is solved by Galerkin's method using linear space finite elements. In the simulations of the migration of a single solitary wave, this algorithm is shown to have good accuracy for small amplitude waves. Moreover, for very small amplitude waves (less than or equal to 0.09) it has higher accuracy than an approach using quadratic B-spline finite elements within Galerkin's method. The interaction of two solitary waves is modelled for small amplitude waves. (C) 2002 Elsevier Science Inc. All rights reserved.