Collocation method for solving system of non-linear Abel integral equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 10، دوره 15، شماره 7، مهر 2024، صفحه 93-100 اصل مقاله (405.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26754.3407 | ||
| نویسندگان | ||
| Somayeh Kazemi1؛ Abolfazl Tari* 2 | ||
| 1Department of Mathematics, Shahed University, Tehran, Iran | ||
| 2Department of Mathematics, Shahed University, Tehran, Iran | ||
| چکیده | ||
| In this paper, a special system of non-linear Abel integral equations (SNAIEs) is studied which arises in astrophysics. Here, the well-known collocation method is extended to obtain approximate solutions of the SNAIEs. The existence and uniqueness conditions of the solution are investigated. Finally, some examples are solved to illustrate the accuracy and efficiency of the proposed method. | ||
| کلیدواژهها | ||
| Abel integral equations؛ System؛ Collocation Method؛ Existence and uniqueness | ||
| مراجع | ||
|
| ||
|
آمار تعداد مشاهده مقاله: 13,658 تعداد دریافت فایل اصل مقاله: 17,864 |
||
| تعداد نشریات | 22 |
| تعداد شمارهها | 723 |
| تعداد مقالات | 10,397 |
| تعداد مشاهده مقاله | 72,866,910 |
| تعداد دریافت فایل اصل مقاله | 64,557,816 |