This paper describes the development of a one-dimensional, parallel code for analyzing Deflagration-to-Detonation Transition (DDT) phenomenon in energetic, granular solid explosive ingredients. The physical model is based on a highly coupled system of partial differential equations involving basic flow conservation equations and some constitutive equations. The whole system is solved using a high-order accurate explicit finite difference scheme on distributed memory computers with Message Passing Interface (MPI) library routines. In this paper, the physical model for the sources of the equation system is given for such a typical explosive, and several numerical calculations are carried out to assess the developed model, and several parametric studies are carried out to understand the numerical issues involved in solution of such a problem. It is concluded that the results are in good agreement with literature. © 2009 Springer-Verlag Berlin Heidelberg.