The use of the trapezoidal method for solving the Tacoma Narrows Bridge model | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 7، دوره 14، شماره 8، آبان 2023، صفحه 67-72 اصل مقاله (912.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.7046 | ||
| نویسندگان | ||
| Mohammad Ali Mehrpouya* 1؛ Mehdi Shahini2 | ||
| 1Department of Mathematics, Tafresh University, Tafresh 39518 79611, Iran | ||
| 2Department of Mathematics and Statistics, Faculty of Basic Sciences, Gonbad Kavous University, Gonbad Kavous, Iran | ||
| چکیده | ||
| In this paper, an efficient method is developed for the approximate solution of a benchmark non-smooth dynamical system. In the proposed method, the trapezoidal method is utilized for solving the Tacoma Narrows Bridge equation. For this purpose, at first, the integral form of the dynamical equation is considered. Afterwards, the obtained integral equation is discretized by the trapezoidal method. The accuracy and performance of the proposed method are examined by means of some numerical experiments. | ||
| کلیدواژهها | ||
| Non-smooth dynamical system؛ Integral equation؛ Numerical method | ||
| مراجع | ||
|
| ||
|
آمار تعداد مشاهده مقاله: 17,356 تعداد دریافت فایل اصل مقاله: 10,659 |
||
| تعداد نشریات | 22 |
| تعداد شمارهها | 721 |
| تعداد مقالات | 10,359 |
| تعداد مشاهده مقاله | 72,758,492 |
| تعداد دریافت فایل اصل مقاله | 64,417,340 |