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

摘要

A novel algorithm, called variable weight fuzzy marginal linearization VWFML method, isproposed. Thismethod can supply approximate analytic and numerical solutions to Lane-Emdenequations. And it is easy to be implemented and extended for solving other nonlinear differentialequations. Numerical examples are included to demonstrate the validity and applicability of thedeveloped technique.