An efficient computational method for the approximate solution of nonlinear Lane-Emden type equations arising in astrophysics
Sign Up to like & getrecommendations! Published in 2018 at "Astrophysics and Space Science"
DOI: 10.1007/s10509-018-3286-1
Abstract: The key purpose of this article is to introduce an efficient computational method for the approximate solution of the homogeneous as well as non-homogeneous nonlinear Lane-Emden type equations. Using proposed computational method given nonlinear equation… read more here.
Keywords: computational method; astrophysics; solution; emden type ... See more keywords
A high-order numerical method for solving nonlinear Lane-Emden type equations arising in astrophysics
Sign Up to like & getrecommendations! Published in 2018 at "Astrophysics and Space Science"
DOI: 10.1007/s10509-018-3483-y
Abstract: In this paper, some nonlinear Lane-Emden type equations arising in astrophysics are solved by Chebyshev Finite Difference Method. Convergence and error analysis of the method are examined. To show the applicability and efficiency, some astrophysics… read more here.
Keywords: method; astrophysics; nonlinear lane; emden type ... See more keywords
Numerical solution of Lane-Emden type equations using Adomian decomposition method with unequal step-size partitions
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DOI: 10.1108/ec-02-2020-0073
Abstract: Purpose The purpose of this paper is to obtain the highly accurate numerical solution of Lane–Emden-type equations using modified Adomian decomposition method (MADM) for unequal step-size partitions. Design/methodology/approach First, the authors describe the standard Adomian… read more here.
Keywords: numerical solution; method; solution; emden type ... See more keywords
Solution for the System of Lane–Emden Type Equations Using Chebyshev Polynomials
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DOI: 10.3390/math6100181
Abstract: In this paper, we use the collocation method together with Chebyshev polynomials to solve system of Lane–Emden type (SLE) equations. We first transform the given SLE equation to a matrix equation by means of a… read more here.
Keywords: system; chebyshev polynomials; system lane; solution ... See more keywords