NUMERICAL SOLUTION OF ISOTHERMAL GAS SPHERE PROBLEM
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, cilt.4, sa.1, ss.163-171, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 4 Sayı: 1
- Basım Tarihi: 2007
- Doi Numarası: 10.1142/s0219876207000960
- Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.163-171
- Yıldız Teknik Üniversitesi Adresli: Evet
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)].