Solving Parabolic Partial Delay Differential Equations Using The Explicit Method And Higher Order Differences

Abstract

In this paper we use the higher orderdifferences for second order (derivative) insolving parabolic partial delay differentialequations by using the explicit method and weget results are more closer to the exact valuesthan the results which can be obtained if thefamiliar second order (derivative) form is used.Finally ,we make a comparison using Matlabbetween the results through two tables ofvalues form [ 3] which results from Taylorseries expansions of a function centered on thegrid point ( , ) i j x t . In this paper, we use thehigher order differences for second order insteadof the familiar form for solving the parabolicdelay differential equations .