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

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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)

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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/23371
DOI 10.1155/2012/259494
Official URL http://www.hindawi.com/journals/mpe/2012/259494/
Subjects Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Keywords ResPubID25584, Lane-Emden equations, weight fuzzy marginal linearization, VWFML, analytic solution, numerical solution, non-linear differential equation
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