Parallel direct integration variable step block method for solving large system of higher order ordinary differential equations.
The performance of the developed two point block method designed for two processsors for solving directly non stiff large systems of higher order ordinary differentiall equations (ODEs) has been investigated. The method calculates the numerical solution at two points simultaneously and produces two...
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| Format: | Article |
| Language: | English English |
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World Academy of Science, Engineering and Technology (WASET)
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/16032/1/Parallel%20direct%20integration%20variable%20step%20block%20method%20for%20solving%20large%20system%20of%20higher%20order%20ordinary%20differential%20equations.pdf |
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| author | Abdul Majid, Zanariah Suleiman, Mohamed |
| author_facet | Abdul Majid, Zanariah Suleiman, Mohamed |
| author_sort | Abdul Majid, Zanariah |
| collection | UPM |
| description | The performance of the developed two point block method designed for two processsors for solving directly non stiff large systems of higher order ordinary differentiall equations (ODEs) has been investigated. The method calculates the numerical solution at two points simultaneously and produces two new equally spaced solution values within a block and it is possible to assign the computational tasks at each time step to a single processor. The algorithm of the method was developed in C language and the parallel computation was done on a parallel shared memory environment. Numerical results are given to compare the efficiency of the developed method to the sequential timing. For large problems, the parallel implementation produced 1.95 speed up and 98% efficiency for the two processors. |
| first_indexed | 2024-03-06T07:36:07Z |
| format | Article |
| id | upm.eprints-16032 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T07:36:07Z |
| publishDate | 2009 |
| publisher | World Academy of Science, Engineering and Technology (WASET) |
| record_format | dspace |
| spelling | upm.eprints-160322015-11-25T07:33:59Z http://psasir.upm.edu.my/id/eprint/16032/ Parallel direct integration variable step block method for solving large system of higher order ordinary differential equations. Abdul Majid, Zanariah Suleiman, Mohamed The performance of the developed two point block method designed for two processsors for solving directly non stiff large systems of higher order ordinary differentiall equations (ODEs) has been investigated. The method calculates the numerical solution at two points simultaneously and produces two new equally spaced solution values within a block and it is possible to assign the computational tasks at each time step to a single processor. The algorithm of the method was developed in C language and the parallel computation was done on a parallel shared memory environment. Numerical results are given to compare the efficiency of the developed method to the sequential timing. For large problems, the parallel implementation produced 1.95 speed up and 98% efficiency for the two processors. World Academy of Science, Engineering and Technology (WASET) 2009 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/16032/1/Parallel%20direct%20integration%20variable%20step%20block%20method%20for%20solving%20large%20system%20of%20higher%20order%20ordinary%20differential%20equations.pdf Abdul Majid, Zanariah and Suleiman, Mohamed (2009) Parallel direct integration variable step block method for solving large system of higher order ordinary differential equations. International Journal of Computational and Mathematical Sciences, 3 (3). pp. 123-127. ISSN 2070-3910 10.5772/8201 English |
| spellingShingle | Abdul Majid, Zanariah Suleiman, Mohamed Parallel direct integration variable step block method for solving large system of higher order ordinary differential equations. |
| title | Parallel direct integration variable step block method for solving large system of higher order ordinary differential equations. |
| title_full | Parallel direct integration variable step block method for solving large system of higher order ordinary differential equations. |
| title_fullStr | Parallel direct integration variable step block method for solving large system of higher order ordinary differential equations. |
| title_full_unstemmed | Parallel direct integration variable step block method for solving large system of higher order ordinary differential equations. |
| title_short | Parallel direct integration variable step block method for solving large system of higher order ordinary differential equations. |
| title_sort | parallel direct integration variable step block method for solving large system of higher order ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/16032/1/Parallel%20direct%20integration%20variable%20step%20block%20method%20for%20solving%20large%20system%20of%20higher%20order%20ordinary%20differential%20equations.pdf |
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