APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR SOLVING A CLASS OF NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
Articles > Article ยท 2012
Authors: Sh. S. BEHZADI, S. ABBASBANDY, T. ALLAHVIRANLOO, Ahmet YILDIRIM
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, Journal Indexed in SCI Expanded, International, 2012, vol 2, pp 127-136
Summary
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.