The variational homotopy perturbation method for solving the K(2,2)equations

Authors

  • Abdelkader Bouhassoun Mathematics department, Faculty of exact and applied sciences, University of Oran Senia, P.O. Box 1524, Oran 31000, Algeria
  • Mohamed Zellal Mathematics department, Faculty of exact and applied sciences, University of Oran Senia, P.O. Box 1524, Oran 31000, Algeria

DOI:

https://doi.org/10.14419/ijamr.v2i2.899

Published:

2013-05-23

Abstract

This paper deals with implementation of the variational homotopy pertubation method (VHPM) for solving the K(2,2) compacton equation. The numerical results show that the approach is easy to implement and accurate whenit is compared with the exact solution. The suggested algorithm is quite efficient and is practically well suitedfor use in the nonlinear problems. The fact that the proposed technique solves nonlinear problems without usingthe Adomian's polynomials can be considered as a clear advantage of this algorithm over the decomposition method.

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