A Numerical Approach to Solve Integro-Differential Equations System

In this paper, we represent a numerical method to solve linear and nonlinear integro-differential equations system. By this method, we can find the solution of the system by power series and reproduce the analytical solution if the exact solutions are polynomial, otherwise we find their's Taylor series. The comparison of the approximate solution and exact solution shows that the used method is easy and practical for linear and nonlinear integro-differential equations system. The package Maple 13 is used for computation.-

Keywords: Integro-differential equation, Power series, Approximate solution, Exact solution.