Numerical solution of integro-differential equations by using Euler's operational matrix of integration
The aim of this paper is to present a numerical method to approximate the solution of a linear Fredholm integro-differential equation by using the Euler polynomials. We initially propose the operational matrix of integration for Euler polynomials. This approximating method is then utilized to reduce the integro-differential equation to a system of algebraic equations. The Eulerâ€™s operational matrix of integration can be used to solve problems such as calculation of variation, optimal control, differential equation and integral equations. Here, some numerical results are presented to illustrate the effectiveness and accurateness of this method.