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
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Math. Comput. Appl. 2010, 15(4), 613-620; https://doi.org/10.3390/mca15040613
Published: 1 December 2010
Abstract
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.
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MDPI and ACS Style
Harley, C.; Momoniat, E. Efficient Boundary Value Problem Solution for a Lane-Emden Equation. Math. Comput. Appl. 2010, 15, 613-620. https://doi.org/10.3390/mca15040613
AMA Style
Harley C, Momoniat E. Efficient Boundary Value Problem Solution for a Lane-Emden Equation. Mathematical and Computational Applications. 2010; 15(4):613-620. https://doi.org/10.3390/mca15040613
Chicago/Turabian StyleHarley, C., and E. Momoniat. 2010. "Efficient Boundary Value Problem Solution for a Lane-Emden Equation" Mathematical and Computational Applications 15, no. 4: 613-620. https://doi.org/10.3390/mca15040613
