SOLUTION OF MULTI-DELAY OF LINEAR INTEGRO-DIFFERENTIALEQUATIONS USING WALSH FUNCTIONS

Abstract

A matrix, called the "delay operational matrix", is constructed from the Walsh matrix, this matrix, together with some matrices obtained from the delay operational matrix after performing right-shift operations, is used to solve the multi-delay linear integro-differential equations (Fredholm and Volterra). Examples are given to compare between the exact and the approximate solution that obtained by using this method.