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...
| Main Authors: | , , , | 
|---|---|
| Format: | Article | 
| Published: | 
        
      Universiti Kebangsaan Malaysia    
    
      2000
     | 
| Online Access: | http://journalarticle.ukm.my/3784/ http://journalarticle.ukm.my/3784/  | 
| id | 
                  ukm-3784 | 
    
|---|---|
| recordtype | 
                  eprints | 
    
| spelling | 
                  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 | 
    
| repository_type | 
                  Digital Repository | 
    
| institution_category | 
                  Local University | 
    
| institution | 
                  Universiti Kebangasaan Malaysia | 
    
| building | 
                  UKM Institutional Repository | 
    
| collection | 
                  Online Access | 
    
| 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://journalarticle.ukm.my/3784/  | 
    
| first_indexed | 
                  2023-09-18T19:39:47Z | 
    
| last_indexed | 
                  2023-09-18T19:39:47Z | 
    
| _version_ | 
                  1777405512432746496 |