Solving first order systems of ordinary differential equations using parallel R-point block method of variable step size and order
A new parallel method for solving first order systems of ordinary differential equations using variable step size and order (back value) is developed.The method, known as parallel R-point block method, calculates the numerical solution at more than one point simultaneously.The program of the method...
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Format: | Article |
Language: | English |
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Chiang Mai University
2009
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Online Access: | https://repo.uum.edu.my/id/eprint/9263/1/1.pdf |
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author | Omar, Zurni Suleiman, Mohamed |
author_facet | Omar, Zurni Suleiman, Mohamed |
author_sort | Omar, Zurni |
collection | UUM |
description | A new parallel method for solving first order systems of ordinary differential equations using variable step size and order (back value) is developed.The method, known as parallel R-point block method, calculates the numerical solution at more than one point simultaneously.The program of the method employed is run on a shared memory Sequent Symmetry S27 parallel computer.Computational advantages are presented comparing the results obtained by the new method with that of conventional 1-point method.The numerical results show that the new method reduces the total number of steps and execution time.It is also discovered that the accuracy of the parallel r-point block method and the 1-point method is comparable particularly when finer tolerances are used.
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first_indexed | 2024-07-04T05:39:56Z |
format | Article |
id | uum-9263 |
institution | Universiti Utara Malaysia |
language | English |
last_indexed | 2024-07-04T05:39:56Z |
publishDate | 2009 |
publisher | Chiang Mai University |
record_format | dspace |
spelling | uum-92632013-11-19T09:24:37Z https://repo.uum.edu.my/id/eprint/9263/ Solving first order systems of ordinary differential equations using parallel R-point block method of variable step size and order Omar, Zurni Suleiman, Mohamed QA Mathematics A new parallel method for solving first order systems of ordinary differential equations using variable step size and order (back value) is developed.The method, known as parallel R-point block method, calculates the numerical solution at more than one point simultaneously.The program of the method employed is run on a shared memory Sequent Symmetry S27 parallel computer.Computational advantages are presented comparing the results obtained by the new method with that of conventional 1-point method.The numerical results show that the new method reduces the total number of steps and execution time.It is also discovered that the accuracy of the parallel r-point block method and the 1-point method is comparable particularly when finer tolerances are used. Chiang Mai University 2009 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/9263/1/1.pdf Omar, Zurni and Suleiman, Mohamed (2009) Solving first order systems of ordinary differential equations using parallel R-point block method of variable step size and order. Chiang Mai Journal of Science, 36 (1). pp. 9-23. ISSN 0125-2526 http://it.science.cmu.ac.th/ejournal/journalDetail.php?journal_id=235 |
spellingShingle | QA Mathematics Omar, Zurni Suleiman, Mohamed Solving first order systems of ordinary differential equations using parallel R-point block method of variable step size and order |
title | Solving first order systems of ordinary differential equations using parallel R-point block method of variable step size and order |
title_full | Solving first order systems of ordinary differential equations using parallel R-point block method of variable step size and order |
title_fullStr | Solving first order systems of ordinary differential equations using parallel R-point block method of variable step size and order |
title_full_unstemmed | Solving first order systems of ordinary differential equations using parallel R-point block method of variable step size and order |
title_short | Solving first order systems of ordinary differential equations using parallel R-point block method of variable step size and order |
title_sort | solving first order systems of ordinary differential equations using parallel r point block method of variable step size and order |
topic | QA Mathematics |
url | https://repo.uum.edu.my/id/eprint/9263/1/1.pdf |
work_keys_str_mv | AT omarzurni solvingfirstordersystemsofordinarydifferentialequationsusingparallelrpointblockmethodofvariablestepsizeandorder AT suleimanmohamed solvingfirstordersystemsofordinarydifferentialequationsusingparallelrpointblockmethodofvariablestepsizeandorder |