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An efficient one dimensional parabolic equation solver using parallel computing

This paper will discuss the heat equation or as known as parabolic equation by Jacobi, Gauss Seidel and Alternating Direct Implicit (ADI) methods with the implementation of parallel computing on it. The numerical method is emphasized as platform to discretize the one dimensional heat equation. The r...

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Main Author: Islam, Md. Rajibul
Format: Article
Language:English
Published: UCSI Publishing House 2010
Subjects:
Q Science (General)
QA76 Computer software
Online Access:http://eprints.utm.my/id/eprint/11933/1/Published_version_Downloded_from_web.pdf
http://eprints.utm.my/id/eprint/11933/
http://www.ucsi.edu.my/cervie/pdf/paperV1N2ST2.pdf
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spelling my.utm.119332011-02-07T01:20:27Z http://eprints.utm.my/id/eprint/11933/ An efficient one dimensional parabolic equation solver using parallel computing Islam, Md. Rajibul Q Science (General) QA76 Computer software This paper will discuss the heat equation or as known as parabolic equation by Jacobi, Gauss Seidel and Alternating Direct Implicit (ADI) methods with the implementation of parallel computing on it. The numerical method is emphasized as platform to discretize the one dimensional heat equation. The result of three types of numerical methods will be presented graphically. The parallel algorithm is used to solve the one dimensional parabolic equation. Parallel Virtual Machine (PVM) is used in support of the communication among all microprocessors of Parallel Computing System. PVM is a software system that enables a collection of heterogeneous computers to be used as coherent and flexible concurrent computational resource. The numerical results and how fast of the convergence by Jacobi, Gauss-Seidel, and ADI will be evaluated, which are the main effort of this paper in order to fabricate an efficient One Dimensional Parabolic Equation Solver (ODPES). This new well-organized ODPES technique will enhance the research and analysis procedure of many engineering and mathematic fields. UCSI Publishing House 2010-12 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/11933/1/Published_version_Downloded_from_web.pdf Islam, Md. Rajibul (2010) An efficient one dimensional parabolic equation solver using parallel computing. International Journal for the Advancement of Science & Arts (IJASA), 1 (2). pp. 13-27. ISSN 2180-4850 http://www.ucsi.edu.my/cervie/pdf/paperV1N2ST2.pdf
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/
language English
topic Q Science (General)
QA76 Computer software
spellingShingle Q Science (General)
QA76 Computer software
Islam, Md. Rajibul
An efficient one dimensional parabolic equation solver using parallel computing
description This paper will discuss the heat equation or as known as parabolic equation by Jacobi, Gauss Seidel and Alternating Direct Implicit (ADI) methods with the implementation of parallel computing on it. The numerical method is emphasized as platform to discretize the one dimensional heat equation. The result of three types of numerical methods will be presented graphically. The parallel algorithm is used to solve the one dimensional parabolic equation. Parallel Virtual Machine (PVM) is used in support of the communication among all microprocessors of Parallel Computing System. PVM is a software system that enables a collection of heterogeneous computers to be used as coherent and flexible concurrent computational resource. The numerical results and how fast of the convergence by Jacobi, Gauss-Seidel, and ADI will be evaluated, which are the main effort of this paper in order to fabricate an efficient One Dimensional Parabolic Equation Solver (ODPES). This new well-organized ODPES technique will enhance the research and analysis procedure of many engineering and mathematic fields.
format Article
author Islam, Md. Rajibul
author_facet Islam, Md. Rajibul
author_sort Islam, Md. Rajibul
title An efficient one dimensional parabolic equation solver using parallel computing
title_short An efficient one dimensional parabolic equation solver using parallel computing
title_full An efficient one dimensional parabolic equation solver using parallel computing
title_fullStr An efficient one dimensional parabolic equation solver using parallel computing
title_full_unstemmed An efficient one dimensional parabolic equation solver using parallel computing
title_sort efficient one dimensional parabolic equation solver using parallel computing
publisher UCSI Publishing House
publishDate 2010
url http://eprints.utm.my/id/eprint/11933/1/Published_version_Downloded_from_web.pdf
http://eprints.utm.my/id/eprint/11933/
http://www.ucsi.edu.my/cervie/pdf/paperV1N2ST2.pdf
_version_ 1643645816073617408
score 13.244369

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