numerical and theoretical study of double delay integral equaton

Abstract

This dissertation studies the existence and uniqueness of double delay integral equations. Taylor collocation method is applied to obtain the approximate solution for linear Volterra integral equations with double constant delay. The method is based on the use of Taylor polynomials developed for the numerical solution of this type of equation. We also conducted a careful computational analysis that justifies the errors generated in the approximate solution up to the order m 􀀀 1. Numerical examples are included to prove the convergent algorithms validity and efficacy.