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Solving the general form of the Emden-Fowler equations with the Moving Least Squares method | ||
| Journal of Mathematical Modeling | ||
| مقاله 5، دوره 7، شماره 2، شهریور 2019، صفحه 231-250 اصل مقاله (326.1 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2019.12623.1238 | ||
| نویسندگان | ||
| Sasan Asadpour؛ AllahBakhsh Yazdani Cherati* ؛ Hassan Hosseinzadeh | ||
| Department of Mathematics, University of Mazandaran, Babolsar, Iran | ||
| چکیده | ||
| In the present paper, we have used moving least squares (MLS) method to solve the integral form of the Emden-Fowler equations with initial conditions. The Volterra integral form of the Emden-Fowler equations overcomes their singular behavior at $x=0$, and the MLS method leads to a satisfactory solution for the equation. The convergence of the method is investigated and finally its applicability is displayed through numerical examples. | ||
| کلیدواژه‌ها | ||
| Emden-Fowler equations؛ Volterra integral equation؛ moving least squares method | ||
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آمار تعداد مشاهده مقاله: 822 تعداد دریافت فایل اصل مقاله: 1,072 |
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