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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ukm-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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Digital Repository |
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Local University |
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Universiti Kebangasaan Malaysia |
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UKM Institutional Repository |
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Online Access |
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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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| format |
Article |
| author |
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 |
| publisher |
Universiti Kebangsaan Malaysia |
| publishDate |
2000 |
| url |
http://journalarticle.ukm.my/3784/ http://journalarticle.ukm.my/3784/ |
| first_indexed |
2023-09-18T19:39:47Z |
| last_indexed |
2023-09-18T19:39:47Z |
| _version_ |
1777405512432746496 |