Numerical solution of Lane-Emden type equations using Flatlet oblique multiwavelets collocation approach | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 18، دوره 14، شماره 10، دی 2023، صفحه 199-215 اصل مقاله (624.84 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29466.4174 | ||
| نویسندگان | ||
| Zahra Shafinejad1؛ Mohammad Zarebnia* 1؛ M. Lakestani2 | ||
| 1Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil, Iran | ||
| 2b Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran | ||
| چکیده | ||
| The presented paper examines a numerical method for solving Lane-Emden type equations based on Flatlet oblique multiwavelet properties. In this paper, using the Flatlet multiwavelet features, an operator matrix is created and then the Lane-Emden equation reduces to a set of algebraic equations. Also, comparing the results presented in previous articles, it is observed that this wavelet due to having different high ranks, has the ability to solve this problem more accurately than other methods. | ||
| کلیدواژهها | ||
| atlet oblique multiwavelet؛ Lane-Emden equation؛ operational matrix of derivative؛ operational matrix of integration؛ collocation method, biorthogonal system | ||
| مراجع | ||
|
| ||
|
آمار تعداد مشاهده مقاله: 16,726 تعداد دریافت فایل اصل مقاله: 10,571 |
||
| تعداد نشریات | 22 |
| تعداد شمارهها | 722 |
| تعداد مقالات | 10,383 |
| تعداد مشاهده مقاله | 72,838,579 |
| تعداد دریافت فایل اصل مقاله | 64,535,123 |