Parallel computer systems, wave equation
This paper describes the use of a parallel computer system in applying a finite difference method to solve various types of partial differential equations. A sequential implementation of this method was made parallel by essentially spatially decomposing the problem domain into pieces that could be separately analyzed and assigning each piece to a processor in a large, multi-processor system. Although this approach is attractive in theory, it suffers in practice because of inter-processor interactions. Thus, particular emphasis was placed on developing efficient methods for the sharing of information among the processors.
Initially, a simple two-dimensional board game, life, was implemented and used to develop inter-processor communication techniques. These techniques were then applied to parallel solutions of the one-dimensional wave equation and of the two-dimensional Laplace's equation. Different initial conditions were used to illustrate the feasibility of this approach.
Journal of the Iowa Academy of Science
© Copyright 1994 by the Iowa Academy of Science, Inc.
"Parallel Algorithms for Solving Partial Differential Equations,"
The Journal of the Iowa Academy of Science: JIAS: Vol. 101:
, Article 11.
Available at: http://scholarworks.uni.edu/jias/vol101/iss2/11