期刊
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
卷 88, 期 16, 页码 3406-3415出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160.2011.587513
关键词
systems of equations; Emden-Fowler equation; variational iteration method; Lagrange multipliers; singularity
In this paper, the variational iteration method (VIM) is used to study systems of linear and nonlinear equations of Emden-Fowler type arising in astrophysics. The VIM overcomes the singularity at the origin and the nonlinearity phenomenon. The Lagrange multipliers for all cases of the parameter alpha, alpha > 0, are determined. The work is supported by examining specific systems of two or three Emden-Fowler equations where the convergence of the results is emphasized.
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