Solving parabolic partial delay differential equations using the explicit method and higher order differences

Abstract EN

In this paper we use the higher order differences for second order (derivative) in solving parabolic partial delay differential equations by using the explicit method and we get results are more closer to the exact values than the results which can be obtained if the familiar second order (derivative) form is used.

Finally ,we make a comparison using Matlab between the results through two tables of values form [3] which results from Taylor series expansions of a function centered on the grid point ( , ) i j x t .

In this paper, we use the higher order differences for second order instead of the familiar form for solving the parabolic delay differential equations.