Numerical Scheme to Solve Integro-Differential Equations System

In this paper, we present a method for numerical solution of linear and nonlinear integro-differential equations system. This method, gives solution of the system by power series and reproduces the analytical solution if the exact solutions are polynomial, otherwise it reproduces theirʹs Taylor series. Comparison of the approximate solution with exact solution shows that the used method is easy and practical for classes of linear and nonlinear integro-differential equations system. The package Maple 9 is used for computation.