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A Computational Method for Solving the Lane-Emden Initial Value Problems | ||
| Computational Methods for Differential Equations | ||
| مقاله 5، دوره 8، شماره 4، بهمن 2020، صفحه 673-684 اصل مقاله (301.23 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.31901.1488 | ||
| نویسنده | ||
| Morteza Bisheh-Niasar* | ||
| Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran. | ||
| چکیده | ||
| In this work, we propose an efficient numerical algorithm based upon compact finite difference to solve Lane-Emden equations which are nonlinear ordinary differential equations. The presented method reduces the solution of Lane-Emden equations to the solution of a nonlinear system of equations. The numerical experiments show the accuracy and efficiency of this method. | ||
| کلیدواژهها | ||
| Lane-Emden equation؛ singular IVPs؛ Compact finite difference | ||
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