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An efficient high-order compact finite difference scheme for Lane-Emden-type equations | ||
| Computational Methods for Differential Equations | ||
| مقاله 8، دوره 13، شماره 1، فروردین 2025، صفحه 107-122 اصل مقاله (395.3 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2023.56275.2351 | ||
| نویسندگان | ||
| Reza Doostaki* ؛ Mohammad Mehdi Hosseini؛ Abbas Salemi | ||
| Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran. | ||
| چکیده | ||
| In this paper, an efficient high-order compact finite difference (HOCFD) scheme is introduced for solving generalized Lane-Emden equations. For nonlinear types, it is shown that a combined quasilinearization and HOCFD scheme gives excellent results, while a few quasilinear iterations are needed. Then the proposed method is developed for solving the system of linear and nonlinear Lane-Emden equations. Some numerical examples are provided, and the obtained results of the proposed method are then compared with previous well-established methods. The numerical experiments show the accuracy and efficiency of the proposed method. | ||
| کلیدواژهها | ||
| Lane-Emden equations؛ Compact finite difference scheme؛ Quasilinearization method؛ High-order accuracy | ||
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آمار تعداد مشاهده مقاله: 45 تعداد دریافت فایل اصل مقاله: 142 |
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