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

  • K. ParandEmail author
  • S. Khaleqi
Regular 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.

Keywords

Collocation Method Collocation Point Homotopy Analysis Method Homotopy Perturbation Method Residual Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Computer Sciences, Faculty of Mathematical SciencesShahid Beheshti UniversityEvinIran

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