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 is converted into a set of nonlinear algebraic equations whose solution gives the approximate solution to the Lane-Emden type equation. Various nonlinear cases of Lane-Emden type equations like standard Lane-Emden equation, the isothermal gas spheres equation and white-dwarf equation are discussed. Results are compared with some well-known numerical methods and it is observed that our results are more accurate.
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The author is very grateful to the referees for their constructive comments and suggestions for the improvement of the paper.
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Singh, H. An efficient computational method for the approximate solution of nonlinear Lane-Emden type equations arising in astrophysics. Astrophys Space Sci 363, 71 (2018). https://doi.org/10.1007/s10509-018-3286-1
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DOI: https://doi.org/10.1007/s10509-018-3286-1