Local discontinuous Galerkin method for the numerical solution of fractional compartmental model with application in pharmacokinetics
محل انتشار: مجله مدلسازی ریاضی، دوره: 10، شماره: 2
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 35
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شناسه ملی سند علمی:
JR_JMMO-10-2_006
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
This paper provides a numerical solution for the fractional multi-compartmental models which are applied in pharmacokinetics. We implement the local discontinuous Galerkin method for these fractional models with the upwind numerical fluxes. To obtain high-order results with adequate accuracy, the third-order approximation polynomials are used. Finally, to validate the scheme, the results are compared with the solutions of a semi-analytical method.
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نویسندگان
Hadi Mohammadi-Firouzjaei
Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. ۴۲۴, Hafez Ave.,۱۵۹۱۴, Tehran, Iran
Mona Adibi
Department of Health, Safety and Environment (Department of Health) Amirkabir University of Technology, No. ۴۲۴, Hafez Ave.,۱۵۹۱۴, Tehran, Iran
Hojatollah Adibi
Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. ۴۲۴, Hafez Ave.,۱۵۹۱۴, Tehran, Iran