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

محورهای موضوعی : فصلنامه ریاضی

Sh. Sadigh Behzadi ¹

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تاریخ دریافت : 1395/01/24 تاریخ پذیرش : 1395/01/24 تاریخ انتشار : 1390/10/01

کلید واژه: Boussinesq equation, Adomian Decomposition Method (ADM), Modified Adomian decomposition method (MADM), Homotopy analysis method (HAM),

چکیده مقاله :

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.