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.
کلید واژگان :
Volterra and Fredholm integral equations, integro-differential equations, Homotopy analysis method (HAM).
