Numerical Solution of Delay Integral Equations by Using Block Pulse Functions Arises in Biological Sciences

Abstract.This article proposes a direct method for solving Volterra and Fredholm integral equations with time delay without using any projection method. By using operational matrix of integration, these equations can be reduced to a linear lower triangular system of algebraic equations which can be directly solved by forward substitution. Numerical examples show that the approximate solutions have a good degree of accuracy.