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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 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...

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Main Authors: Sahimi, Mohd Salleh, Alias, Norma, Sundararajan, Elankovan
Format: Article
Published: Springer Berlin / Heidelberg 2001
Subjects:
QA75 Electronic computers. Computer science
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/2424/
http://dx.doi.org/10.1007/3-540-45545-0_104
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spelling my.utm.24242009-05-04T05:04:27Z http://eprints.utm.my/id/eprint/2424/ The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM Sahimi, Mohd Salleh Alias, Norma Sundararajan, Elankovan QA75 Electronic computers. Computer science QA Mathematics In this paper, a new algorithm in the class of the AGE 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 Berlin / Heidelberg 2001-01-01 Article PeerReviewed Sahimi, Mohd Salleh and Alias, Norma and Sundararajan, Elankovan (2001) The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM. Lecture Notes in Computer Science , 2073/2001 (1). pp. 918-927. ISSN 0302-9743 http://dx.doi.org/10.1007/3-540-45545-0_104 10.1007/3-540-45545-0_104
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA75 Electronic computers. Computer science
QA Mathematics
spellingShingle QA75 Electronic computers. Computer science
QA Mathematics
Sahimi, Mohd Salleh
Alias, Norma
Sundararajan, Elankovan
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 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.
format Article
author Sahimi, Mohd Salleh
Alias, Norma
Sundararajan, Elankovan
author_facet Sahimi, Mohd Salleh
Alias, Norma
Sundararajan, Elankovan
author_sort Sahimi, Mohd Salleh
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 Berlin / Heidelberg
publishDate 2001
url http://eprints.utm.my/id/eprint/2424/
http://dx.doi.org/10.1007/3-540-45545-0_104
_version_ 1643643585727299584
score 13.164666

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