Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board
This paper focuses on the implementation of sequential algorithms for the simulation of parabolic equation in solving the thermal control systems. The platform of the temperature behaviour prediction is based on printed circuit board. The numerical finite-difference method (FDM) is used to design th...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Ibnu Sina Institute for Fundamental Science Studies
2008
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| Subjects: | |
| Online Access: | http://eprints.utm.my/8490/ http://eprints.utm.my/8490/1/NormaAlias2008_SequentialAlgorithmofParabolicEquation.pdf |
| _version_ | 1848891698373984256 |
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| author | A. Ghaffar, Zarith Safiza Alias, Norma Ismail, Fatimah Sham Muhamed Murid, Ali Hassan Hassan, Hazrina |
| author_facet | A. Ghaffar, Zarith Safiza Alias, Norma Ismail, Fatimah Sham Muhamed Murid, Ali Hassan Hassan, Hazrina |
| author_sort | A. Ghaffar, Zarith Safiza |
| building | UTeM Institutional Repository |
| collection | Online Access |
| description | This paper focuses on the implementation of sequential algorithms for the simulation of parabolic equation in solving the thermal control systems. The platform of the temperature behaviour prediction is based on printed circuit board. The numerical finite-difference method (FDM) is used to design the discretization of these partial differential equations. The results of finite-difference approximation are presented graphically. Numerical methods that are used in solving the problem are the method of Jacobi, Gauss-Seidel, Red-Black Gauss-Seidel, Successive Over Relaxation (SOR) and Red-Black Successive Over Relaxation. The numerical analysis is treated done in terms of time execution, computation complexity, number of iterations, accuracy and convergence rate |
| first_indexed | 2025-11-15T21:02:06Z |
| format | Article |
| id | utm-8490 |
| institution | Universiti Teknologi Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T21:02:06Z |
| publishDate | 2008 |
| publisher | Ibnu Sina Institute for Fundamental Science Studies |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utm-84902011-05-19T07:43:38Z http://eprints.utm.my/8490/ Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board A. Ghaffar, Zarith Safiza Alias, Norma Ismail, Fatimah Sham Muhamed Murid, Ali Hassan Hassan, Hazrina QA Mathematics This paper focuses on the implementation of sequential algorithms for the simulation of parabolic equation in solving the thermal control systems. The platform of the temperature behaviour prediction is based on printed circuit board. The numerical finite-difference method (FDM) is used to design the discretization of these partial differential equations. The results of finite-difference approximation are presented graphically. Numerical methods that are used in solving the problem are the method of Jacobi, Gauss-Seidel, Red-Black Gauss-Seidel, Successive Over Relaxation (SOR) and Red-Black Successive Over Relaxation. The numerical analysis is treated done in terms of time execution, computation complexity, number of iterations, accuracy and convergence rate Ibnu Sina Institute for Fundamental Science Studies 2008 Article PeerReviewed application/pdf en http://eprints.utm.my/8490/1/NormaAlias2008_SequentialAlgorithmofParabolicEquation.pdf A. Ghaffar, Zarith Safiza and Alias, Norma and Ismail, Fatimah Sham and Muhamed Murid, Ali Hassan and Hassan, Hazrina (2008) Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board. Journal of Fundamental Sciences, 4 (2). pp. 379-385. ISSN 1823-626X http://portal.psz.utm.my/psz/index.php?option=com_content&task=view&id=128&Itemid=305&PHPSESSID=b8519f519dd37f12dbbaca0de89b1c7a |
| spellingShingle | QA Mathematics A. Ghaffar, Zarith Safiza Alias, Norma Ismail, Fatimah Sham Muhamed Murid, Ali Hassan Hassan, Hazrina Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board |
| title | Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board |
| title_full | Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board |
| title_fullStr | Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board |
| title_full_unstemmed | Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board |
| title_short | Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board |
| title_sort | sequential algorithm of parabolic equation in solving thermal control process on printed circuit board |
| topic | QA Mathematics |
| url | http://eprints.utm.my/8490/ http://eprints.utm.my/8490/ http://eprints.utm.my/8490/1/NormaAlias2008_SequentialAlgorithmofParabolicEquation.pdf |