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

✍ Scribed by M.S. Sahimi; E. Sundararajan; M. Subramaniam; N.A.A. Hamid

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 647 KB
• Volume: 42
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(01)00256-5

✦ Synopsis

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 tile two-stage fractional splitting strategy suggested by D'Yakonov and found to be generally more accurate than the recently developed (2, 2) accurate alternating group explicit (AGE) method of Peaceman-Rachford variant. As the method is fully explicit, its feature can be fully utilized for parallelization by means of a domain decomposition strategy.