Parallel block backward differentiation formulas for solving large systems of ordinary differential equations.
In this paper, parallelism in the solution of Ordinary Differential Equations (ODEs) to increase the computational speed is studied. The focus is the development of parallel algorithm of the two point Block Backward Differentiation Formulas (PBBDF) that can take advantage of the parallel architectu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
World Academy of Science, Engineering and Technology (WASET)
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/16029/ http://psasir.upm.edu.my/id/eprint/16029/1/Parallel%20block%20backward%20differentiation%20formulas%20for%20solving%20large%20systems%20of%20ordinary%20differential%20equations.pdf |
| _version_ | 1848842845786472448 |
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| author | Ibrahim, Zarina Bibi Othman, Khairil Iskandar |
| author_facet | Ibrahim, Zarina Bibi Othman, Khairil Iskandar |
| author_sort | Ibrahim, Zarina Bibi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, parallelism in the solution of Ordinary
Differential Equations (ODEs) to increase the computational speed is studied. The focus is the development of parallel algorithm of the two point Block Backward Differentiation Formulas (PBBDF) that can take advantage of the parallel architecture in computer technology.
Parallelism is obtained by using Message Passing Interface (MPI).Numerical results are given to validate the efficiency of the PBBDF implementation as compared to the sequential implementation. |
| first_indexed | 2025-11-15T08:05:37Z |
| format | Article |
| id | upm-16029 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:05:37Z |
| publishDate | 2010 |
| publisher | World Academy of Science, Engineering and Technology (WASET) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-160292015-09-28T08:22:35Z http://psasir.upm.edu.my/id/eprint/16029/ Parallel block backward differentiation formulas for solving large systems of ordinary differential equations. Ibrahim, Zarina Bibi Othman, Khairil Iskandar In this paper, parallelism in the solution of Ordinary Differential Equations (ODEs) to increase the computational speed is studied. The focus is the development of parallel algorithm of the two point Block Backward Differentiation Formulas (PBBDF) that can take advantage of the parallel architecture in computer technology. Parallelism is obtained by using Message Passing Interface (MPI).Numerical results are given to validate the efficiency of the PBBDF implementation as compared to the sequential implementation. World Academy of Science, Engineering and Technology (WASET) 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/16029/1/Parallel%20block%20backward%20differentiation%20formulas%20for%20solving%20large%20systems%20of%20ordinary%20differential%20equations.pdf Ibrahim, Zarina Bibi and Othman, Khairil Iskandar (2010) Parallel block backward differentiation formulas for solving large systems of ordinary differential equations. World Academy of Science, Engineering and Technology, 40. pp. 595-598. ISSN 1307-6892 English |
| spellingShingle | Ibrahim, Zarina Bibi Othman, Khairil Iskandar Parallel block backward differentiation formulas for solving large systems of ordinary differential equations. |
| title | Parallel block backward differentiation formulas for solving large systems of ordinary differential equations. |
| title_full | Parallel block backward differentiation formulas for solving large systems of ordinary differential equations. |
| title_fullStr | Parallel block backward differentiation formulas for solving large systems of ordinary differential equations. |
| title_full_unstemmed | Parallel block backward differentiation formulas for solving large systems of ordinary differential equations. |
| title_short | Parallel block backward differentiation formulas for solving large systems of ordinary differential equations. |
| title_sort | parallel block backward differentiation formulas for solving large systems of ordinary differential equations. |
| url | http://psasir.upm.edu.my/id/eprint/16029/ http://psasir.upm.edu.my/id/eprint/16029/1/Parallel%20block%20backward%20differentiation%20formulas%20for%20solving%20large%20systems%20of%20ordinary%20differential%20equations.pdf |