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B-spline-based fuzzy transform method for the numerical solution of variable coefficients multi-term fractional differential equations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 خرداد 1405 اصل مقاله (1.49 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.70600.3520 | ||
| نویسندگان | ||
| Sedaghat Shahmorad* 1؛ Fariba Bahrami2؛ Masoumeh Zeinali2 | ||
| 11. Department of Applied Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, University of Tabriz, Tabriz, Iran. 2. Department of Applied Mathematics and Informatics, Faculty of Sciences, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan. | ||
| 2Department of Applied Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, University of Tabriz, Tabriz, Iran. | ||
| چکیده | ||
| In this paper, an effective numerical algorithm based on the fuzzy transform with cubic B-splines as basic functions is designed to solve multi-terms fractional differential equations (FDEs, for short) with variable coefficients. An analytical approximation with desirable regularity is given to the involving initial value problem. The proposed method provides a non-recursive approximate solution based on an operational matrix and a vector of known quantities. The convergence analysis of the method is carried out. An estimation error is also provided, which enables us to report the error for the problems whose exact solutions are not available. The good performance of our method over the available methods is shown by numerical results. | ||
| کلیدواژهها | ||
| Fuzzy transform؛ B-spline functions؛ Multi-term Fractional differential equations؛ Estimation error | ||
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آمار تعداد مشاهده مقاله: 38 تعداد دریافت فایل اصل مقاله: 98 |
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