پیوندهای مفید
آمار
| تعداد نشریات | 32 |
| تعداد شمارهها | 853 |
| تعداد مقالات | 8,273 |
| تعداد مشاهده مقاله | 52,717,255 |
| تعداد دریافت فایل اصل مقاله | 9,153,228 |
Parameters optimization for the fractional advection--dispersion equation using Crank--Nicolson and particle swarm optimization methods | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 26 اردیبهشت 1405 اصل مقاله (1.2 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.32871.2989 | ||
| نویسندگان | ||
| Safar Irandoust-Pakchin؛ Golamreza Zaki؛ Mohammadhossein Derakhshan* ؛ Somaiyeh Abdi-Mazraeh | ||
| Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran | ||
| چکیده | ||
| In this paper, we consider the time--fractional advection--dispersion equation with the Caputo fractional derivative of order $0<\alpha\le1$, dispersion coefficient $\lambda>0$, and average fluid velocity $\mu\ge0$. For the direct problem, the initial and boundary conditions are prescribed, and a numerical method based on the Crank--Nicolson scheme is employed. For the inverse problem, the goal is to identify the optimal values of $\lambda$, $\mu$, and $\alpha$. To achieve this, the particle swarm optimization method is used to minimize the fitting error so that the numerical solution matches the observed data at the selected time levels. Several numerical examples are presented to demonstrate the efficiency of the proposed approach and to validate the theoretical analysis. | ||
| کلیدواژهها | ||
| Crank--Nicolson method؛ time--fractional advection--dispersion equation؛ particle swarm optimization method؛ inverse initial value problem | ||
|
آمار تعداد مشاهده مقاله: 9 تعداد دریافت فایل اصل مقاله: 3 |
||