LAMBERTS W FUNCTION APPROACH ONTHE STABILITY ANALYSIS OF ONE DIMENSIONAL WAVE EQUATION VIA SECOND ORDER NEUTRAL DELAY DIFFERENTIAL EQUATION

Abstract

In this article we have analyzed the stability of second order neutral delay differential equation of anone dimensional wave equation by means of the right most roots of its characteristic equation. The stability is referred by maximal real part of the characteristic root which shows the better perceptive of the model performance. Since Neutral delay differential equation has infinite number of roots with an open structure which can be calculated by numerical methods. This article estimates theleast significant roots of second order neutral delay differential equations by an efficient iterative methodand on the basis of Lambert W function stabilization was determined, whichis illustrated by a wave equation.