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A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method

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DOI: 10.4236/ajcm.2015.52016    4,324 Downloads   4,893 Views   Citations


In this paper, a numerical solution of nonlinear partial differential equation, Benjamin-Bona-Mahony (BBM) and Cahn-Hilliard equation is presented by using Adomain Decomposition Method (ADM) and Variational Iteration Method (VIM). The results reveal that the two methods are very effective, simple and very close to the exact solution.

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The authors declare no conflicts of interest.

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Shehata, M. (2015) A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method. American Journal of Computational Mathematics, 5, 195-203. doi: 10.4236/ajcm.2015.52016.


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