A new high order iterative alternating decomposition explicit method to solve the heat conduction equation
In this paper, a new iterative alternating decomposition explicit (lADE) scheme of order of accuracy similar to that of Sahimi et al. (1993) of the Mitchell-Fairweather variant is developed to solve the one-dimensional parabolic problem. It is based on the two-stage fractional splitting strategy sug...
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Universiti Kebangsaan Malaysia
2000
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my-ukm.journal.37842012-05-02T10:46:07Z http://journalarticle.ukm.my/3784/ A new high order iterative alternating decomposition explicit method to solve the heat conduction equation Sahimi, M.S. Subdararajan, E. Subramaniam, M. Hamid, N.A.A. In this paper, a new iterative alternating decomposition explicit (lADE) scheme of order of accuracy similar to that of Sahimi et al. (1993) of the Mitchell-Fairweather variant is developed to solve the one-dimensional parabolic problem. It is based on the two-stage fractional splitting strategy suggested by D'Yakonov and our numerical experiments indicate that the method is more accurate than the recently developed Alternating Group Explicit (AGE) method of Peaceman-Rachford variant. Universiti Kebangsaan Malaysia 2000 Article PeerReviewed Sahimi, M.S. and Subdararajan, E. and Subramaniam, M. and Hamid, N.A.A. (2000) A new high order iterative alternating decomposition explicit method to solve the heat conduction equation. Sains Malaysiana, 29 . pp. 93-102. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol29_2000/vol29_00page93-102.html |
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In this paper, a new iterative alternating decomposition explicit (lADE) scheme of order of accuracy similar to that of Sahimi et al. (1993) of the Mitchell-Fairweather variant is developed to solve the one-dimensional parabolic problem. It is based on the two-stage fractional splitting strategy suggested by D'Yakonov and our numerical experiments indicate that the method is more accurate than the recently developed Alternating Group Explicit (AGE) method of Peaceman-Rachford variant.
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Sahimi, M.S. Subdararajan, E. Subramaniam, M. Hamid, N.A.A. |
spellingShingle |
Sahimi, M.S. Subdararajan, E. Subramaniam, M. Hamid, N.A.A. A new high order iterative alternating decomposition explicit method to solve the heat conduction equation |
author_facet |
Sahimi, M.S. Subdararajan, E. Subramaniam, M. Hamid, N.A.A. |
author_sort |
Sahimi, M.S. |
title |
A new high order iterative alternating decomposition explicit method to solve the heat conduction equation |
title_short |
A new high order iterative alternating decomposition explicit method to solve the heat conduction equation |
title_full |
A new high order iterative alternating decomposition explicit method to solve the heat conduction equation |
title_fullStr |
A new high order iterative alternating decomposition explicit method to solve the heat conduction equation |
title_full_unstemmed |
A new high order iterative alternating decomposition explicit method to solve the heat conduction equation |
title_sort |
new high order iterative alternating decomposition explicit method to solve the heat conduction equation |
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Universiti Kebangsaan Malaysia |
publishDate |
2000 |
url |
http://journalarticle.ukm.my/3784/ http://www.ukm.my/jsm/english_journals/vol29_2000/vol29_00page93-102.html |
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