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arXiv · 2005.06732

Solving coupled Lane-Emden equations by Green's function and decomposition technique

Randhir Singh
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Abstract

In this paper, the Green's function and decomposition technique is proposed for solving the coupled Lane-Emden equations. This approach depends on constructing Green's function before establishing the recursive scheme for the series solution. Unlike, standard Adomian decomposition method, the present method avoids solving a sequence of transcendental equations for the undetermined coefficients. Convergence and error estimation is provided. Three examples of coupled Lane-Emden equations are considered to demonstrate the accuracy of the current algorithm.

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Randhir Singh. 2020-05-14. Solving coupled Lane-Emden equations by Green's function and decomposition technique. https://doi.org/10.1007/s40819-020-00836-z

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