Numerical Solution for IVP in Volterra Type Linear Integrodifferential Equations System

Abstract

A method is proposed to determine the numerical solution of system of linear Volterra integrodifferential equations (IDEs) by using Bezier curves. The Bezier curves are chosen as piecewise polynomials of degree n, and Bezier curves are determined on $[t_0, t_f ]$ by $n+1$ control points. The efficiency and applicability of the presented method are illustrated by some numerical examples.