Numerical Solution of Systems of Integro Differential Equations Using Polynomial Collocation Method

Abstract

This paper deals with the development of a new numerical scheme to solve systems of linear integro differential equations under mixed conditions. The new method adopted the use of standard collocation points to transform the state equations into linear algebraic equations. These equations are then solved using MATLAB programming through the matrix inversion technique to obtain the unknowns. The convergence of the method is established and numerical examples are solved and compared with existing results to confirm the efficiency of the new method.