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Keywords:

  • collocation method;
  • Kawahara equation;
  • radial basis functions

Abstract

This study is carried out to investigate the numerical solutions of the Kawahara, KdV-Kawahara, and the modified Kawahara equations by using the meshless method based on collocation with radial basis functions. Results of the meshless method with different radial basis functions are presented for the travelling wave solution of the Kawahara type equations. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 542–553, 2012