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Variational Homotopy Perturbation Method for Solving Benjamin-Bona-Mahony Equation
Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq
Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq
Department of Mathematics, Faculty of Science, Univresity of Duhok, Duhok, Iraq
Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq
- 1 Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq
- 2 Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq
- 3 Department of Mathematics, Faculty of Science, Univresity of Duhok, Duhok, Iraq
- 4 Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq
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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.
KeywordsVariational Homotopy Perturbation MethodBenjamin-Bona-Mahony Equation
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