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

M. S. Sahimi, Elankovan A Sundararajan, M. Subramaniam, N. A A Hamid

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1485-1496
Number of pages12
JournalComputers and Mathematics with Applications
Volume42
Issue number10-11
DOIs
Publication statusPublished - Nov 2001
Externally publishedYes

Fingerprint

Decomposition Method
Decomposition
Iteration
Alternating group
Explicit Methods
Domain Decomposition
Parabolic Problems
Parallelization
Fractional
Decompose
Strategy

Keywords

  • Alternating group explicit (AGE) method
  • D'Yakonov fractional splitting
  • Iterative alternating decomposition explicit (IADE) method

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

Cite this

The D'Yakonov fully explicit variant of the iterative decomposition method. / Sahimi, M. S.; A Sundararajan, Elankovan; Subramaniam, M.; Hamid, N. A A.

In: Computers and Mathematics with Applications, Vol. 42, No. 10-11, 11.2001, p. 1485-1496.

Research output: Contribution to journalArticle

Sahimi, M. S. ; A Sundararajan, Elankovan ; Subramaniam, M. ; Hamid, N. A A. / The D'Yakonov fully explicit variant of the iterative decomposition method. In: Computers and Mathematics with Applications. 2001 ; Vol. 42, No. 10-11. pp. 1485-1496.
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