Variational approach to the Lane--Emden equation

Authors:
Ji-Huan He
Affiliations:
LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China and Shanghai Institute of Applied Mathematics and Mechanics, 149 Yanchang Road, Shanghai 200072, China
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

By the semi-inverse method, a variational principle is obtained for the Lane-Emden equation, which gives much numerical convenience when applying finite element methods or Ritz method.