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.