Homotopy analysis method for systems of integro-differential equations

Abstract

In this paper, the application of the homotopy analysis method (HAM) for solving linear and nonlinear systems of integro-differential equations is presented. We used the above method for some nonlinear examples to show how implementation and efficiency of the method. Numerical results show that the homotopy analysis method is a very effective and simple technique for such systems. Examples for linear systems are so easy that has been ignored.