6533b85dfe1ef96bd12bf2ba

RESEARCH PRODUCT

Approximate analytic and numerical solutions to Lane-Emden equation via fuzzy modeling method

De-gang WangPeng ShiPeng ShiHamid Reza KarimiWenyan Song

subject

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Article Subjectlcsh:MathematicsGeneral MathematicsMathematical analysisGeneral EngineeringOrder of accuracylcsh:QA1-939Fuzzy logiclcsh:TA1-2040LinearizationAnalytic element methodVariable weightLane–Emden equationlcsh:Engineering (General). Civil engineering (General)MathematicsNumerical stabilityNumerical partial differential equations

description

Published version in the journal: Mathematical Problems in Engineering. Also available from the publisher: http://dx.doi.org/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.

yearjournalcountryeditionlanguage
2012-01-01
10.1155/2012/259494http://hdl.handle.net/11250/136912