An application of the differential transformation method to the boundary value problems of the system of integro-differential equations

The differential transformation is one of the numerical methods for solving differential equations. An advantage of this method is transforming the differential equations into algebraic ones. This article is presents an efficient numerical method for the solution of the systems of integro-differential equations with two point boundary conditions. The differential transformation method is applied to construct the numerical scheme for the problem. The accuracy of the method is shown by the numerical examples. The results we obtained by using this technique is much more accurate than the existing ones.