A Distributed Memory Parallel Fourth-Order IADEMF Algorithm

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 cond...

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Bibliographic Details
Published in:International journal of advanced computer science & applications Vol. 10; no. 9
Main Authors: Mansor, Noreliza Abu, Alias, Norma, Zulkifle, Kamal, Khatim, Mohammad
Format: Journal Article
Language:English
Published: West Yorkshire Science and Information (SAI) Organization Limited 2019
Subjects:
Accuracy
Algorithms
Approximation
Boundary conditions
Computer architecture
Computer science
Dirichlet problem
Distributed memory
Finite difference method
Iterative methods
Linux
Methods
Multiprocessing
Performance evaluation
Thermodynamics
Virtual environments
ISSN:2158-107X, 2156-5570
Online Access:Get full text
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Summary: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.
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ISSN:2158-107X
2156-5570
DOI:10.14569/IJACSA.2019.0100979