The D'Yakonov fully explicit variant of the iterative decomposition method

In this paper, a new iterative alternating decomposition (IADE) scheme of ( 4, 2) order of accuracy is developed to solve the one-dimensional parabolic problem. It is based on the two-stage fractional splitting strategy sugges ted by D'Yakonov and found to be generally more accurate than the recently developed (2, 2) accurate alternating group explicit (AGE) method of Peacem an-Rachford variant. As the method is fully explicit, its feature can be fu lly utilized for parallelization by means of a domain decomposition strateg y. (C) 2001 Elsevier Science Ltd. All rights reserved.