Thermal Analysis of VLSI System using Successive Over Relaxation (SOR) Method

Nowadays, as the size of Very large scale integration (VLSI) is getting smaller, thermal effects are playing an important role in the system since the high temperature can affect the performance of the system. There is a various of method in determining the thermal profile of VLSI system. The focus...

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Main Authors: Aruchunan, E., Siri, Z., Naganthran, K., Aziz, M.H.B.N., Ghazali, S.A., Muthuvalu, M.S., Sulaiman, J.
Format: Article
Published: Springer Science and Business Media Deutschland GmbH 2022
Online Access:http://scholars.utp.edu.my/id/eprint/34091/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85140226006&doi=10.1007%2f978-3-031-04028-3_14&partnerID=40&md5=36611fb86c6b9bf2e9d75069a22dbcf8
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spelling oai:scholars.utp.edu.my:340912023-01-03T07:22:49Z http://scholars.utp.edu.my/id/eprint/34091/ Thermal Analysis of VLSI System using Successive Over Relaxation (SOR) Method Aruchunan, E. Siri, Z. Naganthran, K. Aziz, M.H.B.N. Ghazali, S.A. Muthuvalu, M.S. Sulaiman, J. Nowadays, as the size of Very large scale integration (VLSI) is getting smaller, thermal effects are playing an important role in the system since the high temperature can affect the performance of the system. There is a various of method in determining the thermal profile of VLSI system. The focus of this study is to implement Crank-Nicolson (CN) method in discretization of the heat equation to obtain the linear system. The linear system will be solved by using iterative methods, Gauss Seidel (GS) and the proposed successive over relaxation (SOR) method. Then, a comparison of the efficiency between these two methods will be analysed based on iteration counts, computer proses time and the maximum temperature. The numerical results show that SOR is more efficient compared to GS. Therefore, the results for this study may be beneficial for the future research in solving numerical iterative method. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG. Springer Science and Business Media Deutschland GmbH 2022 Article NonPeerReviewed Aruchunan, E. and Siri, Z. and Naganthran, K. and Aziz, M.H.B.N. and Ghazali, S.A. and Muthuvalu, M.S. and Sulaiman, J. (2022) Thermal Analysis of VLSI System using Successive Over Relaxation (SOR) Method. Studies in Systems, Decision and Control, 444. pp. 207-223. ISSN 21984182 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85140226006&doi=10.1007%2f978-3-031-04028-3_14&partnerID=40&md5=36611fb86c6b9bf2e9d75069a22dbcf8 10.1007/978-3-031-04028-3₁₄ 10.1007/978-3-031-04028-3₁₄
institution Universiti Teknologi Petronas
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description Nowadays, as the size of Very large scale integration (VLSI) is getting smaller, thermal effects are playing an important role in the system since the high temperature can affect the performance of the system. There is a various of method in determining the thermal profile of VLSI system. The focus of this study is to implement Crank-Nicolson (CN) method in discretization of the heat equation to obtain the linear system. The linear system will be solved by using iterative methods, Gauss Seidel (GS) and the proposed successive over relaxation (SOR) method. Then, a comparison of the efficiency between these two methods will be analysed based on iteration counts, computer proses time and the maximum temperature. The numerical results show that SOR is more efficient compared to GS. Therefore, the results for this study may be beneficial for the future research in solving numerical iterative method. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
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author Aruchunan, E.
Siri, Z.
Naganthran, K.
Aziz, M.H.B.N.
Ghazali, S.A.
Muthuvalu, M.S.
Sulaiman, J.
spellingShingle Aruchunan, E.
Siri, Z.
Naganthran, K.
Aziz, M.H.B.N.
Ghazali, S.A.
Muthuvalu, M.S.
Sulaiman, J.
Thermal Analysis of VLSI System using Successive Over Relaxation (SOR) Method
author_facet Aruchunan, E.
Siri, Z.
Naganthran, K.
Aziz, M.H.B.N.
Ghazali, S.A.
Muthuvalu, M.S.
Sulaiman, J.
author_sort Aruchunan, E.
title Thermal Analysis of VLSI System using Successive Over Relaxation (SOR) Method
title_short Thermal Analysis of VLSI System using Successive Over Relaxation (SOR) Method
title_full Thermal Analysis of VLSI System using Successive Over Relaxation (SOR) Method
title_fullStr Thermal Analysis of VLSI System using Successive Over Relaxation (SOR) Method
title_full_unstemmed Thermal Analysis of VLSI System using Successive Over Relaxation (SOR) Method
title_sort thermal analysis of vlsi system using successive over relaxation (sor) method
publisher Springer Science and Business Media Deutschland GmbH
publishDate 2022
url http://scholars.utp.edu.my/id/eprint/34091/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85140226006&doi=10.1007%2f978-3-031-04028-3_14&partnerID=40&md5=36611fb86c6b9bf2e9d75069a22dbcf8
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score 13.214268