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 Newton-...
Main Authors: | , , |
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Format: | Conference or Workshop Item |
Language: | English |
Published: |
2010
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Subjects: | |
Online Access: | http://irep.iium.edu.my/1823/ http://irep.iium.edu.my/1823/ http://irep.iium.edu.my/1823/1/2_Talib.pdf |
Summary: | 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, an embedding parameter is used to control
the convergence. The method purposed in this work utilizes a special homotopy called Newton homotopy. Numerical example solved in MATLAB is given to show the effectiveness of the purposed method |
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