A method for the numerical solution of the integro-differential equations

In this note, the differential transformation is applied to solve the linear first order ordinary Fredholm integro-differential equations. We will give an applicable relation between the one and two-dimensional differential transformation, in order to solve integro-differential equations. Also, we extend this method for searching the numerical solutions of linear higher-order ordinary Fredholm integro-differential equations. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method.