Numerical Solutions of the Symmetric Regularized Long Wave Equation Using Radial Basis Functions

KAPLAN A. G., Dereli Y.

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol.84, no.5, pp.423-437, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 84 Issue: 5
  • Publication Date: 2012
  • Journal Name: CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.423-437
  • Keywords: Radial basis function, collocation method, SRLW equation, DECAY
  • Anadolu University Affiliated: Yes

Abstract

In this study, the nonlinear symmetric regularized long wave equation was solved numerically by using radial basis functions collocation method. The single solitary wave solution, the interaction of two positive solitary waves and the clash of two solitary waves were studied. Numerical results and simulations of the wave motions were presented. Validity and accuracy of the method was tested by compared with results in the literature.