Implementation of MPI environment for solving large systems of ODEs using block method.
Parallel 2-point and 3-point block method will simultaneously compute the numerical solutions at two and three points respectively are suitable for solving large system of first order ordinary differential equations (ODEs) using variable step size. The Gauss Seidel iteration will be implemented for...
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| Format: | Article |
| Language: | English English |
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World Scientific and Engineering Academy and Society (WSEAS) Press
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15122/1/Implementation%20of%20MPI%20environment%20for%20solving%20large%20systems%20of%20ODEs%20using%20block%20method.pdf |
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| author | Abdul Majid, Zanariah Mehrkanoon, S. Othman, K. I. Suleiman, Mohamed |
| author_facet | Abdul Majid, Zanariah Mehrkanoon, S. Othman, K. I. Suleiman, Mohamed |
| author_sort | Abdul Majid, Zanariah |
| collection | UPM |
| description | Parallel 2-point and 3-point block method will simultaneously compute the numerical solutions at two and three points respectively are suitable for solving large system of first order ordinary differential equations (ODEs) using variable step size. The Gauss Seidel iteration will be implemented for the block methods. The parallelism across the system is considered for the parallelization of the proposed methods using the Message Passing Interface (MPI) communication environment which runs on High Performance Computing (HPC). Numerical examples are given to illustrate the efficiency of the parallel implementation of the proposed method using 2, 4 and 6 processors with respect to the sequential one.
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| first_indexed | 2024-03-06T07:33:24Z |
| format | Article |
| id | upm.eprints-15122 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T07:33:24Z |
| publishDate | 2010 |
| publisher | World Scientific and Engineering Academy and Society (WSEAS) Press |
| record_format | dspace |
| spelling | upm.eprints-151222015-10-29T08:12:48Z http://psasir.upm.edu.my/id/eprint/15122/ Implementation of MPI environment for solving large systems of ODEs using block method. Abdul Majid, Zanariah Mehrkanoon, S. Othman, K. I. Suleiman, Mohamed Parallel 2-point and 3-point block method will simultaneously compute the numerical solutions at two and three points respectively are suitable for solving large system of first order ordinary differential equations (ODEs) using variable step size. The Gauss Seidel iteration will be implemented for the block methods. The parallelism across the system is considered for the parallelization of the proposed methods using the Message Passing Interface (MPI) communication environment which runs on High Performance Computing (HPC). Numerical examples are given to illustrate the efficiency of the parallel implementation of the proposed method using 2, 4 and 6 processors with respect to the sequential one. World Scientific and Engineering Academy and Society (WSEAS) Press 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15122/1/Implementation%20of%20MPI%20environment%20for%20solving%20large%20systems%20of%20ODEs%20using%20block%20method.pdf Abdul Majid, Zanariah and Mehrkanoon, S. and Othman, K. I. and Suleiman, Mohamed (2010) Implementation of MPI environment for solving large systems of ODEs using block method. WSEAS Transactions on Mathematics, 9 (10). pp. 801-810. ISSN 1109-2769 English |
| spellingShingle | Abdul Majid, Zanariah Mehrkanoon, S. Othman, K. I. Suleiman, Mohamed Implementation of MPI environment for solving large systems of ODEs using block method. |
| title | Implementation of MPI environment for solving large systems of ODEs using block method. |
| title_full | Implementation of MPI environment for solving large systems of ODEs using block method. |
| title_fullStr | Implementation of MPI environment for solving large systems of ODEs using block method. |
| title_full_unstemmed | Implementation of MPI environment for solving large systems of ODEs using block method. |
| title_short | Implementation of MPI environment for solving large systems of ODEs using block method. |
| title_sort | implementation of mpi environment for solving large systems of odes using block method |
| url | http://psasir.upm.edu.my/id/eprint/15122/1/Implementation%20of%20MPI%20environment%20for%20solving%20large%20systems%20of%20ODEs%20using%20block%20method.pdf |
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