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...
| Main Authors: | , , , |
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| Format: | Article |
| Published: |
Taylor and Francis
2002
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| Online Access: | http://psasir.upm.edu.my/id/eprint/115363/ |
| _version_ | 1848866757297569792 |
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| author | Omar, Z. Sulaiman, M. Saman, M.Y. Evans, D.J. |
| author_facet | Omar, Z. Sulaiman, M. Saman, M.Y. Evans, D.J. |
| author_sort | Omar, Z. |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T14:25:40Z |
| format | Article |
| id | upm-115363 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T14:25:40Z |
| publishDate | 2002 |
| publisher | Taylor and Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/115363/ http://psasir.upm.edu.my/id/eprint/115363/ http://psasir.upm.edu.my/id/eprint/115363/ |