Approximate analytic and numerical solutions to Lane-Emden equation via fuzzy modeling method
Journal article, Peer reviewed
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Original versionWang, D.-G., Song, W.-Y., Shi, P., & Karimi, H.R. (2012). Approximate analytic and numerical solutions to Lane-Emden equation via fuzzy modeling method. Mathematical Problems in Engineering, 2012, 1-15. doi: 10.1155/2012/259494 10.1155/2012/259494
A novel algorithm, called variable weight fuzzy marginal linearization VWFML method, is proposed. Thismethod 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.
Published version in the journal: Mathematical Problems in Engineering. Also available from the publisher: http://dx.doi.org/10.1155/2012/259494