Numerical Solution of N-Th Order Fredholm Integro-Differential Equations by Integral Mean Value Theorem Method

In this paper, a new and robust semi-analytical method for solving n-th order Fredholm integro-differential equations is proposed. The main idea in this method is applying the mean value theorem for integrals. This method changing the problems to system of algebraic equations so by solving this system we obtain approximate solution. By present some examples and plot the error function and comparison between exact and approximate solution, we show the ability, simplicity and effectiveness of this method.