NUMERICAL SOLUTION OF BOUSSINESQ EQUATION USING MODIFIED ADOMIAN DECOMPOSITION AND HOMOTOPY ANALYSIS METHODS

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  • Sh. Sadigh Behzadi1,

Revised: 12-04-2016

Accepted: 12-04-2016

Published in Issue 22-12-2011

How to Cite

Sadigh Behzadi, S. (2011). NUMERICAL SOLUTION OF BOUSSINESQ EQUATION USING MODIFIED ADOMIAN DECOMPOSITION AND HOMOTOPY ANALYSIS METHODS. International Journal of Mathematical Modelling & Computations, 1(1), 45-58. https://oiccpress.com/ijm2c/article/view/11034

Abstract

In this paper, a Boussinesq equation is solved by using the Adomian's decomposition method, modified Adomian's decomposition method and homotopy analysis method. The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. The existence and uniqueness of the solution and the convergence of the proposed methods are proved in detail. A numerical example is studied to demonstrate the accuracy of the presented methods.
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