Special Issue: New parallel algorithm and its speed-up for the explicit difference method

Abstract

New parallel “ring” algorithm for solution of a spatially one dimensional initial-boundary-value problem (IBVP) for a parabolic equation using an explicit difference method in this article is suggested. The parallel algorithm has been verified by implementation on a workstation-cluster running under parallel virtual machine (PVM). A speed-up function is determined as a ratio of time needed for realization of the algorithm in sequential case to time in parallel. Theoretical estimates of the speed-up function show the significant speed-up of the parallel algorithm in comparison with the serial one.