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An efficient numerical method for solving time-fractional differential equations using least squares support vector regression | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 12 خرداد 1405 اصل مقاله (394.56 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.32521.2951 | ||
| نویسندگان | ||
| Reza Masoumzadeh1؛ Nader Biranvand* 2 | ||
| 1Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnic), No. 424, Hafez Ave., Tehran 15914, Iran | ||
| 2Department of Mathematics, Faculty of Basic Sciences, Imam Ali University, Tehran, Iran | ||
| چکیده | ||
| In this paper, a numerical method is developed for solving time-fractional differential equations. By applying the weighted and shifted Grünwald-Letnikov approximation, the time-fractional diffusion equation is transformed into a semi-discrete scheme. Subsequently, least squares support vector regression (LS-SVR) and spectral methods are applied to solve the resulting semi-discrete scheme. The collocation LS-SVR approach is proposed for training the network. The resulting optimization problem is subsequently simplified to a linear system. | ||
| کلیدواژهها | ||
| Time-fractional differential equations؛ least squares support vector regression؛ collocation LS-SVR؛ Hermite functions؛ weighted and shifted Grünwald-Letnikov approximation | ||
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آمار تعداد مشاهده مقاله: 25 تعداد دریافت فایل اصل مقاله: 6 |
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