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An appropriate numerical method for fractional hematopoietic stem cells model | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 29 مهر 1405 اصل مقاله (1.55 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.69025.3388 | ||
| نویسندگان | ||
| Roghayeh katani* 1؛ Hossain Hassani2 | ||
| 1Mathematic Department, Science Faculty, Yasouj University. | ||
| 2Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India. | ||
| چکیده | ||
| In this paper we introduce a numerical method for solving fractional hematopoietic stem cells model (FHSCM). The main idea is to convert FHSCM to a system of Volterra integral equation of weakly singular type, to which a well known block-by-block method is applied. A convergence analysis is provided and since for considered FHSCM, we do not have information about the exact solution, we provide the estimated error. Finally, numerical simulations are given to confirm application. | ||
| کلیدواژهها | ||
| Caputo fractional derivative؛ Hematopoietic stem cells؛ Block by block method؛ Error estimation | ||
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