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An Efficient High-Order Compact Finite Difference Scheme for Lane-Emden Type Equations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 09 اردیبهشت 1403 اصل مقاله (1.15 M) | ||
| 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 is needed. Then the proposed method is developed for solving the system of linear and nonlinear Lane-Emden equations. Some numerical examples are provided, and 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: 20 تعداد دریافت فایل اصل مقاله: 79 |
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