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Computational approximation of fractional delay differential equations with integral boundary condition | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 26 مرداد 1405 اصل مقاله (1.28 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.66811.3160 | ||
| نویسندگان | ||
| S. Gowri1؛ Ayyadurai Tamilselvan* 1؛ Sekar Elango2؛ S. Joe Christin Mary3 | ||
| 1Department of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamilnadu, India. | ||
| 2Department of Mathematics, Amrita School of Physical Science, Amrita Vishwa Vidyapeetham, Coimbatore, Tamilnadu, 641112, India. | ||
| 3Department of Mathematics, National Institute of Technology, Tiruchirappalli, 620 015, Tamilnadu, India. | ||
| چکیده | ||
| In this paper, we investigate a class of fractional delay differential equations with integral boundary conditions. To solve these problems, a numerical method combining the fractional finite difference $L_2$ approximation and the upwind difference scheme for the convection term is employed on a uniform mesh. Error estimate is derived to assess the accuracy of the proposed method, and numerical examples are provided to validate its effectiveness. | ||
| کلیدواژهها | ||
| Fractional delay differential equation؛ Caputo fractional derivative؛ integral boundary condition؛ Finite difference scheme | ||
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آمار تعداد مشاهده مقاله: 32 تعداد دریافت فایل اصل مقاله: 75 |
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