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The rational Chebyshev of second kind collocation method for solving a class of astrophysics problems

The European Physical Journal Plus volume 131, Article number: 24 (2016) Cite this article

Abstract.

The Lane-Emden equation has been used to model several phenomena in theoretical physics, mathematical physics and astrophysics such as the theory of stellar structure. This study is an attempt to utilize the collocation method with the rational Chebyshev function of Second kind (RCS) to solve the Lane-Emden equation over the semi-infinite interval \( [0,+\infty[\) . According to well-known results and comparing with previous methods, it can be said that this method is efficient and applicable.

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Authors and Affiliations

  1. Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran 19839, Evin, Iran

    K. Parand & S. Khaleqi

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  1. K. Parand
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  2. S. Khaleqi
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Parand, K., Khaleqi, S. The rational Chebyshev of second kind collocation method for solving a class of astrophysics problems. Eur. Phys. J. Plus 131, 24 (2016). https://doi.org/10.1140/epjp/i2016-16024-8

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  • DOI: https://doi.org/10.1140/epjp/i2016-16024-8

Keywords

  • Collocation Method
  • Collocation Point
  • Homotopy Analysis Method
  • Homotopy Perturbation Method
  • Residual Function