The pyramids method application for the synthesis of a parallel algorithm solving finite differential equations scheme Yee. One-dimensional case

Abstract

In this paper, we propose a modification of the method of the pyramids to build parallel algorithms for explicit difference equations. Its efficiency is shown on a practical example of the differential solution of the one-dimensional equations of the Maxwell in two tasks efficiency. In comparison with a usual parallel algorithm acceleration of calculations is increased by 1.6 times. We investigated the efficiency of the author's approach depending on the height of the pyramid, indicated the limits of applicability of the proposed changes.