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

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DOI: 10.4236/am.2015.64062    3,076 Downloads   3,726 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Easif, F. , Manaa, S. , Mahmood, B. and Yousif, M. (2015) Variational Homotopy Perturbation Method for Solving Benjamin-Bona-Mahony Equation. Applied Mathematics, 6, 675-683. doi: 10.4236/am.2015.64062.

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