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Zbl 1022.65076
He, Jihuan
Variational approach to the Lane--Emden equation. (English)
[J] Appl. Math. Comput. 143, No.2-3, 539-541 (2003). ISSN 0096-3003

Summary: 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.
MSC 2000:
*65L05 Initial value problems for ODE (numerical methods)
65L60 Finite numerical methods for ODE
34A34 Nonlinear ODE and systems, general

Keywords: variational principle; Ritz method; Lane-Emden equation; comparison of methods; semi-inverse method; finite element methods

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