期刊
NEW ASTRONOMY
卷 13, 期 1, 页码 53-59出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.newast.2007.06.012
关键词
astrophysics; the Lane-Emden equation; variational iteration method
The Lane-Emden equation is Poisson's equation for the gravitational potential of a self-gravitating, spherically symmetric polytropic fluid which arises in many applications of mathematical physics and constitutes a good model for many systems in various fields. In this work, this equation is investigated using the variational iteration method. Application of variational iteration technique to this problem shows the efficiency and applicability of this procedure for solving this equation. This technique does not require any discretization, linearization or small perturbations and therefore reduces the numerical computations a lot. (C) 2007 Elsevier B.V. All rights reserved.
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