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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| Format: | Article |
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Universiti Kebangsaan Malaysia
2000
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| _version_ | 1796927915276894208 |
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| author | Sahimi, M.S. Subdararajan, E. Subramaniam, M. Hamid, N.A.A. |
| author_facet | Sahimi, M.S. Subdararajan, E. Subramaniam, M. Hamid, N.A.A. |
| author_sort | Sahimi, M.S. |
| collection | UKM |
| description | 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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| first_indexed | 2024-03-06T03:51:23Z |
| format | Article |
| id | ukm.eprints-3784 |
| institution | Universiti Kebangsaan Malaysia |
| last_indexed | 2024-03-06T03:51:23Z |
| publishDate | 2000 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-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 |
| 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 |
| title | 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_short | 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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