Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Computer Science and Information Technology Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1016/j.jpdc.2023.104798 |
| Publisher: | Elsevier |
| Keywords: | Finite difference method; Iterative methods; Parallel architectures; AOR iterative method; Finite-difference methods; Fractional explicit group; Fractional order; Fractional poisson equation; Modified accelerated overrelaxation; Multicore architectures; Parallel implementations; Research studies; Shifted Grunwald estimate; Poisson equation |
| Depositing User: | Mohamad Jefri Mohamed Fauzi |
| Date Deposited: | 07 May 2024 03:04 |
| Last Modified: | 07 May 2024 03:04 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.jpdc.2023.104798 |
| URI: | http://psasir.upm.edu.my/id/eprint/105616 |
| Statistic Details: | View Download Statistic |
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