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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Main Authors: Omar, Zurni, Suleiman, Mohamed
Format: Article
Language:English
Published: Chiang Mai University 2009
Subjects:
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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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