Direct multistep method for solving delay differential equation with boundary conditions

Abstract

This study will consider the implementation of direct multistep method for solving Delay Differential Equations (DDEs) with boundary conditions. The approach of this method is solving DDEs directly using the proposed method without reducing to the system of first order. To execute the direct multistep method to solve Boundary Value Problems (BVPs), we apply the shooting technique by using Newton’s method to compute the guessing value. Some numerical examples are presented to show that the proposed method are capable for solving DDEs with boundary conditions.