Author(s)

A.A. Al-Wali & D.J. Evans

Abstract

In this paper, a method based on applying explicit algorithms for the solu- tion of implicit finite difference systems approximating partial differential equations is introduced. The method arises from developing the concepts of the Alternating Group Explicit (AGE) methods introduced by Evans [2] and Evans and Sahimi in [6] and [7]. The new methods named The Explicit Al- ternating Direction (EAD) methods are introduced through applying them to the two dimensional heat conduction problem and the linear advection problem in two dimensions. A comparative study of the computational complexities of the AGE-2D and the EAD methods is also given. 1 Introduction For many real time problems, parallelism is the only way forward for ob- taining any dramatic progress. A high

Keywords