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Using Reproducing Kernel for Solving the Lane-Emden Equations, Arising in Astrophysics | ||
| International Journal of Mathematical Modelling & Computations | ||
| دوره 10، 3 (SUMMER) - شماره پیاپی 39، آذر 2020، صفحه 179-202 اصل مقاله (1.71 M) | ||
| نوع مقاله: Full Length Article | ||
| نویسندگان | ||
| Ebrahim Amini* 1؛ Asghar Taheri2؛ Majid Abedini3 | ||
| 1Department of Mathematics, Payme Noor University, P. O. Box 19395-4697, Tehran, IRAN | ||
| 2Department of Mathematics, Payme Noor University. | ||
| 3Department of Mathematics, Payme Noor University | ||
| چکیده | ||
| In this paper, we utilize an algorithm for solving nonlinear ordinary differential equations of Lane-Emden type on a semi-infinite interval. The algorithm is based on an iterative technique and thereproducing kernel Hibert method. We give the convergence analysis for the proposed method. The validity and applicability of the proposed method are demonstrated by some numerical examples. The obtained results and comparison with other methods provide confirmation for the validity of our numerical method. | ||
| کلیدواژه‌ها | ||
| Reproducing kernel Hilbert space method؛ Lane-Emden equation؛ Astrophysics equation | ||
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آمار تعداد مشاهده مقاله: 207 تعداد دریافت فایل اصل مقاله: 169 |
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