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Parallel R-point explicit block method for solving second order ordinary differential equations directly

A new parallel R-point explicit block method for solving second order ordinary differential equations (ODEs) directly is developed. The method computes the numerical solution of the equations at three points simultaneously. Each problem was tested on the shared memory parallel computer Sequent S27 u...

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Main Authors: Omar, Z., Sulaiman, M., Saman, M.Y., Evans, D.J.
Format: Article
Published: Taylor and Francis 2002
Online Access:http://psasir.upm.edu.my/id/eprint/115363/
https://doi.org/10.1080%2F00207160290016457
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spelling my.upm.eprints.1153632025-03-03T08:04:36Z http://psasir.upm.edu.my/id/eprint/115363/ Parallel R-point explicit block method for solving second order ordinary differential equations directly Omar, Z. Sulaiman, M. Saman, M.Y. Evans, D.J. A new parallel R-point explicit block method for solving second order ordinary differential equations (ODEs) directly is developed. The method computes the numerical solution of the equations at three points simultaneously. Each problem was tested on the shared memory parallel computer Sequent S27 using both the sequential and parallel implementations of the new method and the conventional 1-point method. Numerical results are presented comparing the two methods in terms of the number of steps taken, accuracy and execution times. The results indicate the advantages of using the parallel implementation of the new method for solving second order ODEs directly particularly when the step size becomes finer. Taylor and Francis 2002 Article PeerReviewed Omar, Z. and Sulaiman, M. and Saman, M.Y. and Evans, D.J. (2002) Parallel R-point explicit block method for solving second order ordinary differential equations directly. International Journal of Computer Mathematics, 79 (3). pp. 289-298. ISSN 1029-0265; eISSN: 0020-7160 https://doi.org/10.1080%2F00207160290016457 10.1080/00207160290016457
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description A new parallel R-point explicit block method for solving second order ordinary differential equations (ODEs) directly is developed. The method computes the numerical solution of the equations at three points simultaneously. Each problem was tested on the shared memory parallel computer Sequent S27 using both the sequential and parallel implementations of the new method and the conventional 1-point method. Numerical results are presented comparing the two methods in terms of the number of steps taken, accuracy and execution times. The results indicate the advantages of using the parallel implementation of the new method for solving second order ODEs directly particularly when the step size becomes finer.
format Article
author Omar, Z.
Sulaiman, M.
Saman, M.Y.
Evans, D.J.
spellingShingle Omar, Z.
Sulaiman, M.
Saman, M.Y.
Evans, D.J.
Parallel R-point explicit block method for solving second order ordinary differential equations directly
author_facet Omar, Z.
Sulaiman, M.
Saman, M.Y.
Evans, D.J.
author_sort Omar, Z.
title Parallel R-point explicit block method for solving second order ordinary differential equations directly
title_short Parallel R-point explicit block method for solving second order ordinary differential equations directly
title_full Parallel R-point explicit block method for solving second order ordinary differential equations directly
title_fullStr Parallel R-point explicit block method for solving second order ordinary differential equations directly
title_full_unstemmed Parallel R-point explicit block method for solving second order ordinary differential equations directly
title_sort parallel r-point explicit block method for solving second order ordinary differential equations directly
publisher Taylor and Francis
publishDate 2002
url http://psasir.upm.edu.my/id/eprint/115363/
https://doi.org/10.1080%2F00207160290016457
_version_ 1825810737729110016
score 13.244413

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