Numerical Solution of Linear Integral and Integro-Dierential Equations Using Boubakar Collocation Method

Abstract

This paper discusses a new collocation method based on Boubakar approximating polynomial for the solution of first order linear integral and integro-differential equations with initial condition. The integro-differential equations is converted into integral equations and later transformed to system of linear equations using standard collocation method. The linear equation is then solved using matrix inversion method. Three examples are given, numerical solutions show that the method is effcient in handling problems under consideration.