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

Mathematical Problems in Engineering. 2012;2012 DOI 10.1155/2012/259494

 

Journal Homepage

Journal Title: Mathematical Problems in Engineering

ISSN: 1024-123X (Print); 1563-5147 (Online)

Publisher: Hindawi Publishing Corporation

LCC Subject Category: Technology: Engineering (General). Civil engineering (General) | Science: Mathematics

Country of publisher: Egypt

Language of fulltext: English

Full-text formats available: PDF, HTML, ePUB, XML

 

AUTHORS

De-Gang Wang (School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China)
Wen-Yan Song (Department of Quantitative Economics, Dongbei University of Finance and Economics, Dalian 116025, China)
Peng Shi (School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA 5005, Australia)
Hamid Reza Karimi (Department of Engineering, Faculty of Technology and Science, University of Agder, 4898 Grimstad, Norway)

EDITORIAL INFORMATION

Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 26 weeks

 

Abstract | Full Text

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.