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

Affiliation(s)

Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia.

Department of Physics, Universidad Tecnológica de Pereira, Pereira, Colombia.

Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia.

Department of Physics, Universidad Tecnológica de Pereira, Pereira, Colombia.

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.

Cite this paper

P. Alzate and W. Urueña, "The Zhou’s Method for Solving the White-Dwarfs Equation,"*Applied Mathematics*, Vol. 4 No. 10, 2013, pp. 28-32. doi: 10.4236/am.2013.410A3005.

P. Alzate and W. Urueña, "The Zhou’s Method for Solving the White-Dwarfs Equation,"

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