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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2010, 15(4), 613-620;

Efficient Boundary Value Problem Solution for a Lane-Emden Equation

Centre for Differential Equations, Continuum Mechanics and Applications School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa
Authors to whom correspondence should be addressed.
Published: 1 December 2010
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An efficient method for determining an initial guess to an iterative solution to the boundary value problem y" + (k/x)y′ + δey = 0 solved subject to y′(0) = 0 and y(1) = 0 is proposed. This initial guess overcomes the instability that occurs at the boundary y′ (0) = 0 for k ≤ 1. When the iterative method becomes singular we can conclude that the maximum value of the critical parameter β has been determined.
Keywords: Lane-Emden equation; boundary value problem; approximate solution Lane-Emden equation; boundary value problem; approximate solution
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Harley, C.; Momoniat, E. Efficient Boundary Value Problem Solution for a Lane-Emden Equation. Math. Comput. Appl. 2010, 15, 613-620.

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