Parallel method using MPI for solving large systems of delay differential equations
In this paper, we describe a parallel algorithm for solving large systems of first order delay differential equations. The algorithm is based on a variable stepsize variable order block method. The method produces two new approximations in a single integration step. The formulae derivation permits c...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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IEEE
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/45058/ http://psasir.upm.edu.my/id/eprint/45058/1/Parallel%20method%20using%20MPI%20for%20solving%20large%20systems%20of%20delay%20differential%20equations.pdf |
| _version_ | 1848850475909120000 |
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| author | Ishak, Fuziyah Suleiman, Mohamed |
| author_facet | Ishak, Fuziyah Suleiman, Mohamed |
| author_sort | Ishak, Fuziyah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we describe a parallel algorithm for solving large systems of first order delay differential equations. The algorithm is based on a variable stepsize variable order block method. The method produces two new approximations in a single integration step. The formulae derivation permits concurrent computation between two processors. The parallel algorithm is implemented by calling the Message Passing Interface (MPI) library. The performance of the sequential and parallel block method is compared with a sequential non-block method. Moreover, the performance of the parallel algorithm is assessed in terms of speedup and efficiency. It is shown from the numerical results that the overall performance of the block method is increased by parallelizing each point in a block. |
| first_indexed | 2025-11-15T10:06:53Z |
| format | Conference or Workshop Item |
| id | upm-45058 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:06:53Z |
| publishDate | 2012 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-450582020-08-04T02:41:49Z http://psasir.upm.edu.my/id/eprint/45058/ Parallel method using MPI for solving large systems of delay differential equations Ishak, Fuziyah Suleiman, Mohamed In this paper, we describe a parallel algorithm for solving large systems of first order delay differential equations. The algorithm is based on a variable stepsize variable order block method. The method produces two new approximations in a single integration step. The formulae derivation permits concurrent computation between two processors. The parallel algorithm is implemented by calling the Message Passing Interface (MPI) library. The performance of the sequential and parallel block method is compared with a sequential non-block method. Moreover, the performance of the parallel algorithm is assessed in terms of speedup and efficiency. It is shown from the numerical results that the overall performance of the block method is increased by parallelizing each point in a block. IEEE 2012 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/45058/1/Parallel%20method%20using%20MPI%20for%20solving%20large%20systems%20of%20delay%20differential%20equations.pdf Ishak, Fuziyah and Suleiman, Mohamed (2012) Parallel method using MPI for solving large systems of delay differential equations. In: 2012 IEEE Colloquium on Humanities, Science & Engineering Research (CHUSER 2012), 3-4 Dec. 2012, Kota Kinabalu, Sabah. (pp. 255-259). 10.1109/CHUSER.2012.6504320 |
| spellingShingle | Ishak, Fuziyah Suleiman, Mohamed Parallel method using MPI for solving large systems of delay differential equations |
| title | Parallel method using MPI for solving large systems of delay differential equations |
| title_full | Parallel method using MPI for solving large systems of delay differential equations |
| title_fullStr | Parallel method using MPI for solving large systems of delay differential equations |
| title_full_unstemmed | Parallel method using MPI for solving large systems of delay differential equations |
| title_short | Parallel method using MPI for solving large systems of delay differential equations |
| title_sort | parallel method using mpi for solving large systems of delay differential equations |
| url | http://psasir.upm.edu.my/id/eprint/45058/ http://psasir.upm.edu.my/id/eprint/45058/ http://psasir.upm.edu.my/id/eprint/45058/1/Parallel%20method%20using%20MPI%20for%20solving%20large%20systems%20of%20delay%20differential%20equations.pdf |