A Distributed Memory Parallel Fourth-Order IADEMF Algorithm

Boundary conditions; Computer operating systems; Iterative methods; Distributed Memory; Distributed memory architecture; Fourth-order; Fourth-order method; Iterative alternating decomposition; Parallel performance; Parallel performance evaluation; Performances evaluation; Red-black; Red-black orderi...

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Main Authors: Mansor N.A., Zulkifle A.K., Alias N., Hasan M.K.
Other Authors: 57386242300
Format: Article
Published: Science and Information Organization 2023
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Institution: Universiti Tenaga Nasional
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spelling my.uniten.dspace-248292023-05-29T15:27:38Z A Distributed Memory Parallel Fourth-Order IADEMF Algorithm Mansor N.A. Zulkifle A.K. Alias N. Hasan M.K. 57386242300 7801341335 22733403000 9633140400 Boundary conditions; Computer operating systems; Iterative methods; Distributed Memory; Distributed memory architecture; Fourth-order; Fourth-order method; Iterative alternating decomposition; Parallel performance; Parallel performance evaluation; Performances evaluation; Red-black; Red-black orderings; Memory architecture The fourth-order finite difference Iterative Alternating Decomposition Explicit Method of Mitchell and Fairweather (IADEMF4) sequential algorithm has demonstrated its ability to perform with high accuracy and efficiency for the solution of a one-dimensional heat equation with Dirichlet boundary conditions. This paper develops the parallelization of the IADEMF4, by applying the Red-Black (RB) ordering technique. The proposed IADEMF4-RB is implemented on multiprocessor distributed memory architecture based on Parallel Virtual Machine (PVM) environment with Linux operating system. Numerical results show that the IADEMF4-RB accelerates the convergence rate and largely improves the serial time of the IADEMF4. In terms of parallel performance evaluations, the IADEMF4-RB significantly outperforms its counterpart of the second-order (IADEMF2-RB), as well as the benchmarked fourth-order classical iterative RB methods, namely, the Gauss-Seidel (GS4-RB) and the Successive Over-relaxation (SOR4-RB) methods. � 2019. International Journal of Advanced Computer Science and Applications. All Rights Reserved. Final 2023-05-29T07:27:38Z 2023-05-29T07:27:38Z 2019 Article 10.14569/IJACSA.2019.0100979 2-s2.0-85121841883 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85121841883&doi=10.14569%2fIJACSA.2019.0100979&partnerID=40&md5=60a83cdd9cff208fa4defd9c7c69a876 https://irepository.uniten.edu.my/handle/123456789/24829 10 9 599 607 All Open Access, Gold Science and Information Organization Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
description Boundary conditions; Computer operating systems; Iterative methods; Distributed Memory; Distributed memory architecture; Fourth-order; Fourth-order method; Iterative alternating decomposition; Parallel performance; Parallel performance evaluation; Performances evaluation; Red-black; Red-black orderings; Memory architecture
author2 57386242300
author_facet 57386242300
Mansor N.A.
Zulkifle A.K.
Alias N.
Hasan M.K.
format Article
author Mansor N.A.
Zulkifle A.K.
Alias N.
Hasan M.K.
spellingShingle Mansor N.A.
Zulkifle A.K.
Alias N.
Hasan M.K.
A Distributed Memory Parallel Fourth-Order IADEMF Algorithm
author_sort Mansor N.A.
title A Distributed Memory Parallel Fourth-Order IADEMF Algorithm
title_short A Distributed Memory Parallel Fourth-Order IADEMF Algorithm
title_full A Distributed Memory Parallel Fourth-Order IADEMF Algorithm
title_fullStr A Distributed Memory Parallel Fourth-Order IADEMF Algorithm
title_full_unstemmed A Distributed Memory Parallel Fourth-Order IADEMF Algorithm
title_sort distributed memory parallel fourth-order iademf algorithm
publisher Science and Information Organization
publishDate 2023
_version_ 1806423459675242496