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Variational Homotopy Perturbation Method for Solving Benjamin-Bona-Mahony Equation 被引量:1

Variational Homotopy Perturbation Method for Solving Benjamin-Bona-Mahony Equation
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摘要 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. 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.
出处 《Applied Mathematics》 2015年第4期675-683,共9页 应用数学(英文)
关键词 VARIATIONAL HOMOTOPY PERTURBATION Method Benjamin-Bona-Mahony EQUATION Variational Homotopy Perturbation Method Benjamin-Bona-Mahony Equation
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