Application of Taylor-Newton homotopy method for solving electrical engineering design problem
We describe simple implementations of homotopy (also called continuation) algorithm for determining the proper resistor to dissipate energy at a specified rate of an electric circuit. Homotopy algorithm can be considered as a developing of the classical methods in numerical computing such as Ne...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2009
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/6171/ http://irep.iium.edu.my/6171/1/AZRAM_BALI2009.PDF |
| _version_ | 1848776621158301696 |
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| author | Hassan, Talib Hashim Azram, Mohammad Daoud, Jamal Ibrahim |
| author_facet | Hassan, Talib Hashim Azram, Mohammad Daoud, Jamal Ibrahim |
| author_sort | Hassan, Talib Hashim |
| building | IIUM Repository |
| collection | Online Access |
| description | We describe simple implementations of homotopy
(also called continuation) algorithm for determining
the proper resistor to dissipate energy at a specified
rate of an electric circuit. Homotopy algorithm can
be considered as a developing of the classical
methods in numerical computing such as Newton-
Raphson and fixed point methods. In homoptopy
methods,a n embeddingp arameteris usedt o control
the convergenceT. he methodp urposedi n this work
utilizes a special homotopy called Newton homotopy.
Numerical example solved in MATLAB is given to
showt he effectiveness of the purposed method. |
| first_indexed | 2025-11-14T14:33:00Z |
| format | Proceeding Paper |
| id | iium-6171 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:33:00Z |
| publishDate | 2009 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-61712022-08-01T06:52:45Z http://irep.iium.edu.my/6171/ Application of Taylor-Newton homotopy method for solving electrical engineering design problem Hassan, Talib Hashim Azram, Mohammad Daoud, Jamal Ibrahim QA Mathematics We describe simple implementations of homotopy (also called continuation) algorithm for determining the proper resistor to dissipate energy at a specified rate of an electric circuit. Homotopy algorithm can be considered as a developing of the classical methods in numerical computing such as Newton- Raphson and fixed point methods. In homoptopy methods,a n embeddingp arameteris usedt o control the convergenceT. he methodp urposedi n this work utilizes a special homotopy called Newton homotopy. Numerical example solved in MATLAB is given to showt he effectiveness of the purposed method. 2009 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/6171/1/AZRAM_BALI2009.PDF Hassan, Talib Hashim and Azram, Mohammad and Daoud, Jamal Ibrahim (2009) Application of Taylor-Newton homotopy method for solving electrical engineering design problem. In: 2nd International Conference on Power Control and Optimization 2009, 1-3 June, 2009, Bali Island, Indonesia. http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=APCPCS001159000001000092000001&idtype=cvips&gifs=Yes&ref=no |
| spellingShingle | QA Mathematics Hassan, Talib Hashim Azram, Mohammad Daoud, Jamal Ibrahim Application of Taylor-Newton homotopy method for solving electrical engineering design problem |
| title | Application of Taylor-Newton homotopy method for solving electrical engineering design problem |
| title_full | Application of Taylor-Newton homotopy method for solving electrical engineering design problem |
| title_fullStr | Application of Taylor-Newton homotopy method for solving electrical engineering design problem |
| title_full_unstemmed | Application of Taylor-Newton homotopy method for solving electrical engineering design problem |
| title_short | Application of Taylor-Newton homotopy method for solving electrical engineering design problem |
| title_sort | application of taylor-newton homotopy method for solving electrical engineering design problem |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/6171/ http://irep.iium.edu.my/6171/ http://irep.iium.edu.my/6171/1/AZRAM_BALI2009.PDF |