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An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 فروردین 1403 اصل مقاله (2.46 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.57372.2398 | ||
| نویسندگان | ||
| Anshima Singh* 1؛ Sunil Kumar2؛ Higinio Ramos3 | ||
| 1Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi, India. | ||
| 2Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi, India. | ||
| 3Scientific Computing Group, Universidad de Salamanca, Plaza de la Merced, Salamancay, 37008, Spain. | ||
| چکیده | ||
| The primary objective of this research is to develop and analyze a robust computational method based on exponential B-splines for solving fractional sub-diffusion equations. The fractional operator includes the Mittag-Leffler function of one parameter in the form of a kernel that is non-local and non-singular in nature. The current approach is based on an effective finite difference method for discretizing in time, and the exponential B-spline functions for discretizing in space. The proposed scheme is proven to be unconditionally stable and convergent. Also, unique solvability of the method is established. Numerical simulations conducted for multiple test examples validate the agreement between the obtained theoretical results and the corresponding numerical outcomes. | ||
| کلیدواژه‌ها | ||
| Fractional sub-diffusion equation؛ Time fractional derivative؛ Exponential B-spline collocation؛ Stability analysis؛ Error bounds | ||
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آمار تعداد مشاهده مقاله: 45 تعداد دریافت فایل اصل مقاله: 99 |
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