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The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM

In this paper, a new algorithm in the class of the AGE method based on the Brian variant (AGEB) of the ADI is developed to solve the heat equation in 3 space dimensions. The method is iterative, convergent, stable and second order accurate with respect to space and time. It is inherently explicit an...

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Main Authors:	Sahimi M.S., Alias N., Sundararajan E.
Other Authors:	35561342900
Format:	Conference Paper
Published:	Springer Verlag 2023
Subjects:	Heat transfer Partial differential equations Algorithm for solving Data decomposition Heat equation Parallel implementations Parallelizations Space and time Space dimensions Three space dimensions Iterative methods
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id	my.uniten.dspace-29862
record_format	dspace
spelling	my.uniten.dspace-298622024-04-17T09:35:47Z The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM Sahimi M.S. Alias N. Sundararajan E. 35561342900 22733403000 6507137436 Heat transfer Partial differential equations Algorithm for solving Data decomposition Heat equation Parallel implementations Parallelizations Space and time Space dimensions Three space dimensions Iterative methods In this paper, a new algorithm in the class of the AGE method based on the Brian variant (AGEB) of the ADI is developed to solve the heat equation in 3 space dimensions. The method is iterative, convergent, stable and second order accurate with respect to space and time. It is inherently explicit and is therefore well suited for parallel implementation on the PVM where data decomposition is run asynchronously and concurrently at every time level. Its performance is assessed in terms of speed-up, efficiency and effectiveness. � Springer-Verlag Berlin Heidelberg 2001. Final 2023-12-28T08:57:59Z 2023-12-28T08:57:59Z 2001 Conference Paper 10.1007/3-540-45545-0_104 2-s2.0-84949642170 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84949642170&doi=10.1007%2f3-540-45545-0_104&partnerID=40&md5=73849ed4fa81d9010c32fb953ddb56ed https://irepository.uniten.edu.my/handle/123456789/29862 2073 918 927 All Open Access; Bronze Open Access Springer Verlag 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/
topic	Heat transfer Partial differential equations Algorithm for solving Data decomposition Heat equation Parallel implementations Parallelizations Space and time Space dimensions Three space dimensions Iterative methods
spellingShingle	Heat transfer Partial differential equations Algorithm for solving Data decomposition Heat equation Parallel implementations Parallelizations Space and time Space dimensions Three space dimensions Iterative methods Sahimi M.S. Alias N. Sundararajan E. The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM
description	In this paper, a new algorithm in the class of the AGE method based on the Brian variant (AGEB) of the ADI is developed to solve the heat equation in 3 space dimensions. The method is iterative, convergent, stable and second order accurate with respect to space and time. It is inherently explicit and is therefore well suited for parallel implementation on the PVM where data decomposition is run asynchronously and concurrently at every time level. Its performance is assessed in terms of speed-up, efficiency and effectiveness. � Springer-Verlag Berlin Heidelberg 2001.
author2	35561342900
author_facet	35561342900 Sahimi M.S. Alias N. Sundararajan E.
format	Conference Paper
author	Sahimi M.S. Alias N. Sundararajan E.
author_sort	Sahimi M.S.
title	The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM
title_short	The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM
title_full	The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM
title_fullStr	The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM
title_full_unstemmed	The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM
title_sort	ageb algorithm for solving the heat equation in three space dimensions and its parallelization using pvm
publisher	Springer Verlag
publishDate	2023
_version_	1806426083711516672
score	13.222552

The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM

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