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N. Kumar and R. Pandey, “Solution of the Lane-Emden Equation Using the Bernstein Operational Matrix of Integration,” ISRN Astronomy and Astrophysics, Vol. 2011, 2011, Article ID: 351747. http://dx.doi.org/10.5402/2011/351747

has been cited by the following article:

• TITLE: The Zhou’s Method for Solving the White-Dwarfs Equation

  AUTHORS: Pedro Pablo Cárdenas Alzate, William Ardila Urueña

  KEYWORDS: Zhou’s Method; DTM; Lane-Emden Type Equation; White-Dwarfs

  JOURNAL NAME: Applied Mathematics, Vol.4 No.10C, October 8, 2013

  ABSTRACT: In this work we apply the differential transformation method (Zhou’s method) or DTM for solving white-dwarfs equation which Chandrasekhar [1] introduced in his study of the gravitational potential of these degenerate (white-dwarf) stars. DTM may be considered as alternative and efficient for finding the approximate solutions of the initial values problems. We prove superiority of this method by applying them on the some Lane-Emden type equation, in this case. The power series solution of the reduced equation transforms into an approximate implicit solution of the original equation.