NUMERICAL SOLUTION OF ISOTHERMAL GAS SPHERE PROBLEM


GÜZEL N. , OYLUMLU M. T.

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, cilt.4, ss.163-171, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 4 Konu: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1142/s0219876207000960
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
  • Sayfa Sayıları: ss.163-171

Özet

In this paper, we use Pade approximation, to solve a boundary-value problem for an isothermal gas sphere, which is a special form of Lane-Emden equation. However, in general, the solution of Lane-Emden equation cannot be given analytically. This type of non-linear differential equations can be solved only numerically. An example is presented to show the ability of the method for Lane-Emden differential equation. Numerical solutions to the isothermal gas sphere have been discussed. We use MAPLE computer algebra systems for numerical calculations [Frank (1996)].