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 suggested by D'Yakonov and found to be generally more accurate than the recen...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2001-11, Vol.42 (10), p.1485-1496
Main Authors: Sahimi, M.S., Sundararajan, E., Subramaniam, M., Hamid, N.A.A.
Format: Article
Language:English
Subjects:
Alternating group explicit (AGE) method
D'Yakonov fractional splitting
Iterative alternating decomposition explicit (IADE) method
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Summary: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 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.
ISSN:0898-1221
1873-7668
DOI:10.1016/S0898-1221(01)00256-5