Polytropic gas spheres: an approximate analytic solution of the Lane-Emden equation
نویسندگان
چکیده
منابع مشابه
Polytropic gas spheres: An approximate analytic solution of the Lane-Emden equation
Polytropic models play a very important role in galactic dynamics and in the theory of stellar structure and evolution. However, in general, the solution of the Lane-Emden equation can not be given analytically but only numerically. In this paper we give a good analytic approximate solution of the Lane-Emden equation. This approximation is very good for any finite polytropic index n and for the...
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We present two new analytic methods that are used for solving initial value problems that model polytropic and stellar structures in astrophysics and mathematical physics. The applicability, effectiveness, and reliability of the methods are assessed on the Lane-Emden equation which is described by a second-order nonlinear differential equation. The results obtained in this work are also compare...
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1 School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China 2 Department of Quantitative Economics, Dongbei University of Finance and Economics, Dalian 116025, China 3 School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA 5005, Australia 4 School of Engineering and Science, Victoria University, Melbourne, VIC 8001, Austr...
متن کاملNumerical Solution of the Lane-Emden Equation Based on DE Transformation via Sinc Collocation Method
In this paper, numerical solution of general Lane-Emden equation via collocation method based on Double Exponential DE transformation is considered. The method converts equation to the nonlinear Volterra integral equation. Numerical examples show the accuracy of the method. Also, some remarks with respect to run-time, computational cost and implementation are discussed.
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The perturbation method is applied to numerical solution of the Lane-Emden Equation (LEE)of arbitrary index n, and the global parameters of polytropes are found as function of polytropic index n.
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 1996
ISSN: 0035-8711,1365-2966
DOI: 10.1093/mnras/281.4.1197