A parallel fractional explicit group modified AOR iterative method for solving fractional poisson equation with multi-core architecture
This research studies the Multi-core Architecture for the Modified Accelerated Overrelaxation (MAOR) scheme for solving the fractional Poisson equation. The equation is discretized using the fractional explicit group (FEG) finite difference method. This research also presents the parallel implementa...
| Main Authors: | , , , , |
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| Format: | Article |
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Elsevier
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/105616/ |
| _version_ | 1848864561338253312 |
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| author | Syafiq, Nik Amir Othman, Mohamed Senu, Norazak Ismail, Fudziah Hamid, Nor Asilah Wati Abdul |
| author_facet | Syafiq, Nik Amir Othman, Mohamed Senu, Norazak Ismail, Fudziah Hamid, Nor Asilah Wati Abdul |
| author_sort | Syafiq, Nik Amir |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This research studies the Multi-core Architecture for the Modified Accelerated Overrelaxation (MAOR) scheme for solving the fractional Poisson equation. The equation is discretized using the fractional explicit group (FEG) finite difference method. This research also presents the parallel implementation of the fractional order iterative methods with the chessboard (CB) ordering strategies. The experimental results of the test problems were compared with other well known relaxation schemes to test their feasibility on parallel environment. The parameters that is measured include number of iteration, error, execution time and computational cost for various number of processors. © 2023 Elsevier Inc. |
| first_indexed | 2025-11-15T13:50:46Z |
| format | Article |
| id | upm-105616 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:50:46Z |
| publishDate | 2024 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1056162024-05-07T03:04:20Z http://psasir.upm.edu.my/id/eprint/105616/ A parallel fractional explicit group modified AOR iterative method for solving fractional poisson equation with multi-core architecture Syafiq, Nik Amir Othman, Mohamed Senu, Norazak Ismail, Fudziah Hamid, Nor Asilah Wati Abdul This research studies the Multi-core Architecture for the Modified Accelerated Overrelaxation (MAOR) scheme for solving the fractional Poisson equation. The equation is discretized using the fractional explicit group (FEG) finite difference method. This research also presents the parallel implementation of the fractional order iterative methods with the chessboard (CB) ordering strategies. The experimental results of the test problems were compared with other well known relaxation schemes to test their feasibility on parallel environment. The parameters that is measured include number of iteration, error, execution time and computational cost for various number of processors. © 2023 Elsevier Inc. Elsevier 2024-03 Article PeerReviewed Syafiq, Nik Amir and Othman, Mohamed and Senu, Norazak and Ismail, Fudziah and Hamid, Nor Asilah Wati Abdul (2024) A parallel fractional explicit group modified AOR iterative method for solving fractional poisson equation with multi-core architecture. Journal of Parallel and Distributed Computing, 185. art. no. 104798. ISSN 0743-7315; ESSN: 1096-0848 https://linkinghub.elsevier.com/retrieve/pii/S0743731523001685 10.1016/j.jpdc.2023.104798 |
| spellingShingle | Syafiq, Nik Amir Othman, Mohamed Senu, Norazak Ismail, Fudziah Hamid, Nor Asilah Wati Abdul A parallel fractional explicit group modified AOR iterative method for solving fractional poisson equation with multi-core architecture |
| title | A parallel fractional explicit group modified AOR iterative method for solving fractional poisson equation with multi-core architecture |
| title_full | A parallel fractional explicit group modified AOR iterative method for solving fractional poisson equation with multi-core architecture |
| title_fullStr | A parallel fractional explicit group modified AOR iterative method for solving fractional poisson equation with multi-core architecture |
| title_full_unstemmed | A parallel fractional explicit group modified AOR iterative method for solving fractional poisson equation with multi-core architecture |
| title_short | A parallel fractional explicit group modified AOR iterative method for solving fractional poisson equation with multi-core architecture |
| title_sort | parallel fractional explicit group modified aor iterative method for solving fractional poisson equation with multi-core architecture |
| url | http://psasir.upm.edu.my/id/eprint/105616/ http://psasir.upm.edu.my/id/eprint/105616/ http://psasir.upm.edu.my/id/eprint/105616/ |