Parallelization of Explicit Group Iterative Methods in the Solution of Three Dimensional Telegraph Equation Using OpenMP Technology

摘要

In a previous work, we presented the parallel implementations of an explicit group iterative scheme which was derived from standard centered seven-point finite difference discretization formula for the solution of a three dimensional second order telegraph partial differential equation. In this paper, we parallelize another new explicit group iterative scheme named explicit decoupled group (EDG) scheme which was derived from the rotated (skewed) seven-point finite difference discretisation. Domain decomposition technique was utilized on this group scheme to divide the tasks involved in solving the equation. The objective of this study is to describe the development of the parallel group iterative schemes under OpenMP programming environment as a way to reduce the computational costs of the solution through multiple-core technologies. A comparative study with the previous work, point iterative method and explicit group iterative method based on the seven-point centered difference approximation will be reported and discussed.