آمار
| تعداد نشریات | 43 |
| تعداد شماره‌ها | 1,227 |
| تعداد مقالات | 15,051 |
| تعداد مشاهده مقاله | 50,586,516 |
| تعداد دریافت فایل اصل مقاله | 13,675,614 |
A numerical approach for solving Caputo-Prabhakar distributed-order time-fractional partial differential equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 25 دی 1402 اصل مقاله (1.41 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.57844.2426 | ||
| نویسندگان | ||
| Mohsen Khasteh1؛ Amir Hosein Refahi Sheikhani* 1؛ Farhad Shariffar2 | ||
| 1Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran. | ||
| 2Department of Applied Mathematics, Fouman and Shaft Branch, Islamic Azad University, Fouman, Iran. | ||
| چکیده | ||
| In this paper we proposed a numerical method based on the shifted fractional order Jacobi and trapezoid methods to solve a type of distributed partial differential equations. The fractional derivatives are considered in the Caputo-Prabhakar type. By shifted fractional-order Jacobi polynomials our proposed method can provide highly accurate approximate solutions by reducing the problem under study to a set of algebraic equations which is technically simpler for handling. In order to demonstrate the error estimates, several lemmas are provided. Finally, numerical results are provided to demonstrate the validity of the theoretical analysis. | ||
| کلیدواژه‌ها | ||
| Shifted Jacobi polynomials؛ Trapezoid؛ Numerical method | ||
|
آمار تعداد مشاهده مقاله: 26 تعداد دریافت فایل اصل مقاله: 116 |
||