A collocation method for the numerical solution of the RLW equation using cubic B-spline basis


Saka B. , Dag İ.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, vol.30, pp.39-50, 2005 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30
  • Publication Date: 2005
  • Title of Journal : ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Page Numbers: pp.39-50
  • Keywords: finite elements, collocation, splines, solitary waves, LONG-WAVE EQUATION, FINITE-ELEMENT-METHOD, SOLITARY WAVES

Abstract

The cubic B-spline functions and splitting method have been used to develop a new algorithm based on the collocation method to solve Regularized Long Wave (RLW) Equations. The method is validated by studying solitary wave motion, two solitary-wave interaction, the evolution of solitary waves, and undular bore development.