An efficient computational method for the approximate solution of nonlinear Lane-Emden type equations arising in astrophysics |
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| Authors: | Harendra Singh |
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| Institution: | 1.Department of Mathematics,Post Graduate College,Ghazipur,India;2.School of Mathematical Sciences,National Institute of Science Education and Research (NISER),Khurda,India |
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| 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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