Application of the MSESS scheme for an approximate solution of partial differential-difference equations

In this paper, the combination of the classical step method and an extension of the state space (MSESS), previously proposed for an analysis of stochastic structures with lumped parameters and discrete delays, is modified to study dynamical systems described by partial differential equations with constant delays. Implementation of the computational algorithms is performed as a program in the source language of the package Mathematica. Examples of analysis for various systems are presented.