A numerical solution of a Kawahara equation by using Multiquadric radial basis function

Subject Areas : Applied Mathematics

M. Zarebnia ¹ (Department of Mathematics, University of mohaghegh Ardabili, 56199-11367, Ardabil, Iran.)
M. Takhti ² (Department of Mathematics, University of mohaghegh Ardabili, 56199-11367, Ardabil, Iran.)

Received: 2013-07-12 Accepted : 2013-02-03 Published : 2015-05-01

Keywords: Kawahara equation, Traveling wave solution, Radial basis function(RBFs),

Abstract :

In this article, we apply the Multiquadric radial basis function (RBF) interpo-lation method for nding the numerical approximation of traveling wave solu-tions of the Kawahara equation. The scheme is based on the Crank-Nicolsonformulation for space derivative. The performance of the method is shown innumerical examples.

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