Volume 2, Number 2, 2012, Pages 127-136 DOI:10.11948/2012009 |
Application of homotopy analysis method for solving a class of nonlinear Volterra-Fredholm integro-differential equations |
Sh. Sadigh Behzadia,S. Abbasbandy,A. Yildirim |
Keywords:Volterra and Fredholm integral equations |
Abstract: |
In this paper, the nonlinear Volterra-Fredholm integro-differential equations are solved by using the homotopy analysis method (HAM). The approximation solution of this equation is calculated in the form of a series which its components are computed easily . The existence and uniqueness of the solution and the convergence of the proposed method are proved. A numerical example is studied to demonstrate the accuracy of the presented method. |
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