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The method based on quintic B-spline functions for addressing time-fractional advection-dispersion equations | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 10 آذر 1404 اصل مقاله (841.8 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.31501.2833 | ||
| نویسندگان | ||
| Mohamed Adel1؛ Somayieh Abdi-mazraeh2؛ Golamreza Zaki2؛ Safar Irandust-Pakchin* 3 | ||
| 1Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, KSA. | ||
| 2Department of Applied Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, University of Tabriz, Tabriz, Iran | ||
| 3Department of Mathematics | ||
| چکیده | ||
| This paper introduces a numerical method designed to address the fractional time advection-dispersion equation. Initially, the time dimension is discretized by employing the L1 method. Subsequently, quintic B-spline functions are utilized for the discretization of the spatial dimension. This approach yields a system of algebraic equations that can be efficiently solved. The proposed method is proven to be unconditionally stable. Numerical experiments provide compelling evidence of the method’s efficiency and effectiveness | ||
| کلیدواژهها | ||
| Advection-dispersion equation؛ Caputo fractional derivative؛ quintic B-spline functions | ||
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آمار تعداد مشاهده مقاله: 6 تعداد دریافت فایل اصل مقاله: 14 |
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