Two point predictor corrector block method for solving delay differential equations
A 2-point variable order variable stepsize block method for the numerical solution of delay differential equations is described. The predictor-corrector formulae using divided difference formulation are implemented to produce two points simultaneously. This algorithm proves to be reliable, accurate...
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Format: | Article |
Language: | English |
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Department of Mathematics, Universiti Teknologi Malaysia
2008
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Online Access: | http://psasir.upm.edu.my/id/eprint/17501/1/Two%20point%20predictor%20corrector%20block%20method%20for%20solving%20delay%20differential%20equations.pdf |
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author | Ishak, Fuziyah Suleiman, Mohamed Omar, Zurni |
author_facet | Ishak, Fuziyah Suleiman, Mohamed Omar, Zurni |
author_sort | Ishak, Fuziyah |
collection | UPM |
description | A 2-point variable order variable stepsize block method for the numerical solution of delay differential equations is described. The predictor-corrector formulae using divided difference formulation are implemented to produce two points simultaneously. This algorithm proves to be reliable, accurate and efficient. Furthermore,numerical experiments show that the block method reduces the number of total steps when compared with 1-point sequential method. |
first_indexed | 2024-03-06T07:40:37Z |
format | Article |
id | upm.eprints-17501 |
institution | Universiti Putra Malaysia |
language | English |
last_indexed | 2024-03-06T07:40:37Z |
publishDate | 2008 |
publisher | Department of Mathematics, Universiti Teknologi Malaysia |
record_format | dspace |
spelling | upm.eprints-175012017-07-17T03:43:40Z http://psasir.upm.edu.my/id/eprint/17501/ Two point predictor corrector block method for solving delay differential equations Ishak, Fuziyah Suleiman, Mohamed Omar, Zurni A 2-point variable order variable stepsize block method for the numerical solution of delay differential equations is described. The predictor-corrector formulae using divided difference formulation are implemented to produce two points simultaneously. This algorithm proves to be reliable, accurate and efficient. Furthermore,numerical experiments show that the block method reduces the number of total steps when compared with 1-point sequential method. Department of Mathematics, Universiti Teknologi Malaysia 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/17501/1/Two%20point%20predictor%20corrector%20block%20method%20for%20solving%20delay%20differential%20equations.pdf Ishak, Fuziyah and Suleiman, Mohamed and Omar, Zurni (2008) Two point predictor corrector block method for solving delay differential equations. Matematika, 24 (2). pp. 131-140. ISSN 0127-8274; ESSN: 0127-9602 http://www.matematika.utm.my/index.php/matematika/article/view/535 |
spellingShingle | Ishak, Fuziyah Suleiman, Mohamed Omar, Zurni Two point predictor corrector block method for solving delay differential equations |
title | Two point predictor corrector block method for solving delay differential equations |
title_full | Two point predictor corrector block method for solving delay differential equations |
title_fullStr | Two point predictor corrector block method for solving delay differential equations |
title_full_unstemmed | Two point predictor corrector block method for solving delay differential equations |
title_short | Two point predictor corrector block method for solving delay differential equations |
title_sort | two point predictor corrector block method for solving delay differential equations |
url | http://psasir.upm.edu.my/id/eprint/17501/1/Two%20point%20predictor%20corrector%20block%20method%20for%20solving%20delay%20differential%20equations.pdf |
work_keys_str_mv | AT ishakfuziyah twopointpredictorcorrectorblockmethodforsolvingdelaydifferentialequations AT suleimanmohamed twopointpredictorcorrectorblockmethodforsolvingdelaydifferentialequations AT omarzurni twopointpredictorcorrectorblockmethodforsolvingdelaydifferentialequations |