Solution of systems of integral - differential equations by Variational Iteration Method

In this paper, we will consider variational iteration method (VIM) for solving systems of integral–differential equation. This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. Using the variational iteration method, it is possible to find the exact solution or an approximate solution of the problem. In this paper, variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials.