A New One-Step Method Inverse Polynomial Method for Solving Stiff and Non-Stiff Delay Differential Equations

Abstract

This paper presents the one-step fourth order inverse method to solve the Delay differential equations (DDEs) by using interpolating function which consists of inverse function. The delay argument is approximated using Lagrange interpolation. The stability polynomial of this method and the corresponding stability region are obtained. The applicability of this method has been demonstrated by numerical examples of stiff and non-stiff DDEs with constant delay, time dependent delay and state dependent delays and the results are compared with the existing method. The numerical results are compared with the theoretical solution.