NUMERICAL SOLUTION OF BOUSSINESQ EQUATION USING MODIFIED ADOMIAN DECOMPOSITION AND HOMOTOPY ANALYSIS METHODS
سال انتشار: 1390
نوع سند: مقاله ژورنالی
زبان: فارسی
مشاهده: 124
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شناسه ملی سند علمی:
JR_IJMAC-1-1_006
تاریخ نمایه سازی: 2 اسفند 1401
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.
کلیدواژه ها:
Boussinesq equation ، Adomian Decomposition Method (ADM) ، Modified Adomian decomposition method (MADM) ، Homotopy analysis method (HAM)
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