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Approximate Analytic and Numerical Solutions to Lane-Emden Equation via Fuzzy Modeling Method

Wang, De-Gang, Song, Wen-Yan, Shi, Peng and Karimi, Hamid Reza (2012) Approximate Analytic and Numerical Solutions to Lane-Emden Equation via Fuzzy Modeling Method. Mathematical Problems in Engineering. ISSN 1024-123X (print) 1563-5147 (online)

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Abstract

A novel algorithm, called variable weight fuzzy marginal linearization (VWFML) method, is proposed. This method can supply approximate analytic and numerical solutions to Lane-Emden equations. And it is easy to be implemented and extended for solving other nonlinear differential equations. Numerical examples are included to demonstrate the validity and applicability of the developed technique.

Item Type: Article
Uncontrolled Keywords: ResPubID25584, Lane-Emden equations, weight fuzzy marginal linearization, VWFML, analytic solution, numerical solution, non-linear differential equation
Subjects: FOR Classification > 0103 Numerical and Computational Mathematics
Faculty/School/Research Centre/Department > School of Engineering and Science
Depositing User: Yimin Zeng
Date Deposited: 01 Apr 2014 22:57
Last Modified: 19 Aug 2014 02:47
URI: http://vuir.vu.edu.au/id/eprint/23371
DOI: 10.1155/2012/259494
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Citations in Scopus: 1 - View on Scopus

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