Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations
Parallel implementation of fourth order Block Backward Differentiation Formulas (BBDF(4)) is presented for a numerical solution of first order stiff ordinary differential equations (ODEs). This method computes the numerical solution at two points concurrently in each block. The sequential and parall...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57406/ http://psasir.upm.edu.my/id/eprint/57406/1/Parallel%20implementation%20of%20fourth%20order%20block%20backward%20differentiation%20formulas%20for%20solving%20system%20of%20stiff%20ordinary%20differential%20equations.pdf |
| _version_ | 1848853357354024960 |
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| author | Ibrahim, Zarina Bibi Mohd Nasir, Nor Ain Azeany Othman, Khairil Iskandar Suleiman, Mohamed |
| author_facet | Ibrahim, Zarina Bibi Mohd Nasir, Nor Ain Azeany Othman, Khairil Iskandar Suleiman, Mohamed |
| author_sort | Ibrahim, Zarina Bibi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Parallel implementation of fourth order Block Backward Differentiation Formulas (BBDF(4)) is presented for a numerical solution of first order stiff ordinary differential equations (ODEs). This method computes the numerical solution at two points concurrently in each block. The sequential and parallel codes are developed on Message Passing Interface (MPI) library and run on High Performance Computing (HPC). The performance of this new method is measured in terms of Speedup (Sp) and Efficiency (Ef). It is shown that the parallel implementation BBDF(4) produced a better speed up compared to the sequential timing. |
| first_indexed | 2025-11-15T10:52:41Z |
| format | Conference or Workshop Item |
| id | upm-57406 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:41Z |
| publishDate | 2012 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-574062017-09-27T09:15:13Z http://psasir.upm.edu.my/id/eprint/57406/ Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations Ibrahim, Zarina Bibi Mohd Nasir, Nor Ain Azeany Othman, Khairil Iskandar Suleiman, Mohamed Parallel implementation of fourth order Block Backward Differentiation Formulas (BBDF(4)) is presented for a numerical solution of first order stiff ordinary differential equations (ODEs). This method computes the numerical solution at two points concurrently in each block. The sequential and parallel codes are developed on Message Passing Interface (MPI) library and run on High Performance Computing (HPC). The performance of this new method is measured in terms of Speedup (Sp) and Efficiency (Ef). It is shown that the parallel implementation BBDF(4) produced a better speed up compared to the sequential timing. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57406/1/Parallel%20implementation%20of%20fourth%20order%20block%20backward%20differentiation%20formulas%20for%20solving%20system%20of%20stiff%20ordinary%20differential%20equations.pdf Ibrahim, Zarina Bibi and Mohd Nasir, Nor Ain Azeany and Othman, Khairil Iskandar and Suleiman, Mohamed (2012) Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 102-109). 10.1063/1.4801110 |
| spellingShingle | Ibrahim, Zarina Bibi Mohd Nasir, Nor Ain Azeany Othman, Khairil Iskandar Suleiman, Mohamed Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations |
| title | Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations |
| title_full | Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations |
| title_fullStr | Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations |
| title_full_unstemmed | Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations |
| title_short | Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations |
| title_sort | parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57406/ http://psasir.upm.edu.my/id/eprint/57406/ http://psasir.upm.edu.my/id/eprint/57406/1/Parallel%20implementation%20of%20fourth%20order%20block%20backward%20differentiation%20formulas%20for%20solving%20system%20of%20stiff%20ordinary%20differential%20equations.pdf |