New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly
A new method called parallel R-point explicit block method for solving a single equation of higher order ordinary differential equation directly using a constant step size is developed. This method calculates the numerical solution at R point simultaneously and is parallel in nature. Computational...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2009
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| Online Access: | http://journalarticle.ukm.my/66/ http://journalarticle.ukm.my/66/1/ |
| _version_ | 1848809133245988864 |
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| author | Zurni Omar, Mohamed Suleiman, |
| author_facet | Zurni Omar, Mohamed Suleiman, |
| author_sort | Zurni Omar, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | A new method called parallel R-point explicit block method for solving a single equation of higher order ordinary
differential equation directly using a constant step size is developed. This method calculates the numerical solution at R point simultaneously and is parallel in nature. Computational advantages are presented by comparing the results obtained with the new method with that of the conventional 1-point method. The numerical results show that the new method reduces the total number of steps and execution time. The accuracy of the parallel block and the conventional 1-point method is comparable particularly when finer step sizes are used. |
| first_indexed | 2025-11-14T23:09:46Z |
| format | Article |
| id | ukm-66 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:09:46Z |
| publishDate | 2009 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ukm-662016-12-14T06:26:18Z http://journalarticle.ukm.my/66/ New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly Zurni Omar, Mohamed Suleiman, A new method called parallel R-point explicit block method for solving a single equation of higher order ordinary differential equation directly using a constant step size is developed. This method calculates the numerical solution at R point simultaneously and is parallel in nature. Computational advantages are presented by comparing the results obtained with the new method with that of the conventional 1-point method. The numerical results show that the new method reduces the total number of steps and execution time. The accuracy of the parallel block and the conventional 1-point method is comparable particularly when finer step sizes are used. Universiti Kebangsaan Malaysia 2009-04 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/66/1/ Zurni Omar, and Mohamed Suleiman, (2009) New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly. Sains Malaysiana, 38 (2). pp. 227-231. ISSN 0126-6039 http://www.ukm.my/~jsm/kandungan.html |
| spellingShingle | Zurni Omar, Mohamed Suleiman, New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly |
| title | New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly |
| title_full | New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly |
| title_fullStr | New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly |
| title_full_unstemmed | New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly |
| title_short | New Parallel R-point explicit block method for solving linear high-order ordinary differential equations directly |
| title_sort | new parallel r-point explicit block method for solving linear high-order ordinary differential equations directly |
| url | http://journalarticle.ukm.my/66/ http://journalarticle.ukm.my/66/ http://journalarticle.ukm.my/66/1/ |