Variational Homotopy Perturbation Method for Solving Benjamin-Bona-Mahony Equation

Fadhil H. Easif¹, Saad A. Manaa¹, Bewar A. Mahmood², Majeed A. Yousif¹

¹Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq.
²Department of Mathematics, Faculty of Science, Univresity of Duhok, Duhok, Iraq.

DOI: 10.4236/am.2015.64062                

Abstract

In this article, the application of variational homotopy perturbation method is applied to solve Benjamin-Bona-Mahony equation. Then, we obtain the numerical solution of BBM equation using the initial condition. Comparison with Adomian’s decomposition method, homotopy perturbation method, and with the exact solution shows that VHPM is more effective and accurate than ADM and HPM, and is reliable and manageable for this type of equation.

Keywords

Variational Homotopy Perturbation Method, Benjamin-Bona-Mahony Equation

Conflicts of Interest

The authors declare no conflicts of interest.

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