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...
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2008
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author | Alias, Norma A. Ghaffar, Zarith Safiza Ismail, Fatimah Sham Mohamed Murid, Ali Hassan Hassan, Hazrina |
author_facet | Alias, Norma A. Ghaffar, Zarith Safiza Ismail, Fatimah Sham Mohamed Murid, Ali Hassan Hassan, Hazrina |
author_sort | Alias, Norma |
collection | ePrints |
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 | 2024-03-05T18:13:36Z |
format | Conference or Workshop Item |
id | utm.eprints-8485 |
institution | Universiti Teknologi Malaysia - ePrints |
last_indexed | 2024-03-05T18:13:36Z |
publishDate | 2008 |
record_format | dspace |
spelling | utm.eprints-84852020-03-04T01:31:08Z http://eprints.utm.my/8485/ Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board Alias, Norma A. Ghaffar, Zarith Safiza Ismail, Fatimah Sham Mohamed Murid, Ali Hassan Hassan, Hazrina QA75 Electronic computers. Computer science 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. 2008-05-28 Conference or Workshop Item PeerReviewed Alias, Norma and A. Ghaffar, Zarith Safiza and Ismail, Fatimah Sham and Mohamed Murid, Ali Hassan and Hassan, Hazrina (2008) Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board. In: Regional Annual Fundamental Science Seminar 2008 (RAFSS 2008), 27 - 29 May 2008, Ibnu Sina Institute for Fundamental Science Studies, UTM. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:100469 |
spellingShingle | QA75 Electronic computers. Computer science QA Mathematics Alias, Norma A. Ghaffar, Zarith Safiza Ismail, Fatimah Sham Mohamed 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 | QA75 Electronic computers. Computer science QA Mathematics |
work_keys_str_mv | AT aliasnorma sequentialalgorithmofparabolicequationinsolvingthermalcontrolprocessonprintedcircuitboard AT aghaffarzarithsafiza sequentialalgorithmofparabolicequationinsolvingthermalcontrolprocessonprintedcircuitboard AT ismailfatimahsham sequentialalgorithmofparabolicequationinsolvingthermalcontrolprocessonprintedcircuitboard AT mohamedmuridalihassan sequentialalgorithmofparabolicequationinsolvingthermalcontrolprocessonprintedcircuitboard AT hassanhazrina sequentialalgorithmofparabolicequationinsolvingthermalcontrolprocessonprintedcircuitboard |