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...
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| Format: | Article |
| Language: | en |
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Universiti Kebangsaan Malaysia
2009
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| Online Access: | http://journalarticle.ukm.my/66/1/ http://journalarticle.ukm.my/66/ http://www.ukm.my/~jsm/kandungan.html |
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| _version_ | 1831352879868280832 |
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| author | Zurni Omar, Mohamed Suleiman, |
| author_facet | Zurni Omar, Mohamed Suleiman, |
| author_sort | Zurni Omar, |
| building | Tun Sri Lanang Library |
| collection | Institutional Repository |
| content_provider | Universiti Kebangsaan Malaysia |
| content_source | UKM Journal Article Repository |
| continent | Asia |
| country | Malaysia |
| 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. |
| format | Article |
| id | my-ukm.journal-66 |
| institution | Universiti Kebangsaan Malaysia |
| language | en |
| publishDate | 2009 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | eprints |
| spelling | my-ukm.journal-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/66/1/ http://journalarticle.ukm.my/66/ http://www.ukm.my/~jsm/kandungan.html |
| url_provider | http://journalarticle.ukm.my/ |