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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Main Authors: Sahimi, M.S., Subdararajan, E., Subramaniam, M., Hamid, N.A.A.
Format: Article
Published: Universiti Kebangsaan Malaysia 2000
Online Access:http://journalarticle.ukm.my/3784/
http://www.ukm.my/jsm/english_journals/vol29_2000/vol29_00page93-102.html
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spelling 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
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
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.
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://www.ukm.my/jsm/english_journals/vol29_2000/vol29_00page93-102.html
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score 13.214268