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

Pedro Pablo Cárdenas Alzate, William Ardila Urueña

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

DOI: 10.4236/am.2013.410A3005                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

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