Taylor -Fixed point homotopy for solving nonlinear algebraic problems

Hasan, Talib Hashim and Chowdhury, Md. Sazzad Hossien and Yamamura, Kiyotaka (2010) Taylor -Fixed point homotopy for solving nonlinear algebraic problems. In: International Conference on Mathematical Applications in Engineering (ICMAE’10), 3 - 4 August 2010, Kuala Lumpur, Malaysia.

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Abstract

In this paper we tried to exploit homotopy approximation methods (HAM) for solving nonlinear algebraic equation NLAE. HAM can be considered as one of the new methods belong to the general classification of the computational methods which can be used to find the numerical solution of many types of the problems in science and engineering. In this work, we solved NLAE using fixed-point homotopy based on Taylor series. Numerical example is given to show the effectiveness of the purposed method using MATLAB language.

Item Type:	Conference or Workshop Item (Full Paper)
Additional Information:	5604/2253
Uncontrolled Keywords:	Homotopy Approximation Methods(HAM), Fixed-Point homotopy, Taylor series, nonlinear algebraic equation, MATLAB.
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	29 Sep 2011 09:29
Last Modified:	11 Oct 2011 16:36
URI:	http://irep.iium.edu.my/id/eprint/2253

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