Application of Taylor-Newton homotopy method for solving electrical engineering design problem

• Main Authors: Hassan, Talib Hashim, Azram, Mohammad, Daoud, Jamal Ibrahim
• Format: Conference or Workshop Item
• Language: English
• Published: 2009
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/6171/1/AZRAM_BALI2009.PDF; http://irep.iium.edu.my/6171/; http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=APCPCS001159000001000092000001&idtype=cvips&gifs=Yes&ref=no
• Institution: Universiti Islam Antarabangsa Malaysia

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.