NUMERICAL SOLUTION OF ISOTHERMAL GAS SPHERE PROBLEM

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Atıf İçin Kopyala

GÜZEL N., OYLUMLU M. T.

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, cilt.4, sa.1, ss.163-171, 2007 (SCI-Expanded)

• 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)].