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Mohammadi-Firouzjaei, Hadi, Adibi, Mona, Adibi, Hojatollah. (1401). Local discontinuous Galerkin method for the numerical solution of fractional compartmental model with application in pharmacokinetics. فیزیولوژی و بیوتکنولوژی آبزیان, 10(2), 247-261. doi: 10.22124/jmm.2021.20561.1790
Hadi Mohammadi-Firouzjaei; Mona Adibi; Hojatollah Adibi. "Local discontinuous Galerkin method for the numerical solution of fractional compartmental model with application in pharmacokinetics". فیزیولوژی و بیوتکنولوژی آبزیان, 10, 2, 1401, 247-261. doi: 10.22124/jmm.2021.20561.1790
Mohammadi-Firouzjaei, Hadi, Adibi, Mona, Adibi, Hojatollah. (1401). 'Local discontinuous Galerkin method for the numerical solution of fractional compartmental model with application in pharmacokinetics', فیزیولوژی و بیوتکنولوژی آبزیان, 10(2), pp. 247-261. doi: 10.22124/jmm.2021.20561.1790
Mohammadi-Firouzjaei, Hadi, Adibi, Mona, Adibi, Hojatollah. Local discontinuous Galerkin method for the numerical solution of fractional compartmental model with application in pharmacokinetics. فیزیولوژی و بیوتکنولوژی آبزیان, 1401; 10(2): 247-261. doi: 10.22124/jmm.2021.20561.1790

Local discontinuous Galerkin method for the numerical solution of fractional compartmental model with application in pharmacokinetics

Journal of Mathematical Modeling
دوره 10، شماره 2، شهریور 2022، صفحه 247-261    اصل مقاله (552.38 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2021.20561.1790
نویسندگان
Hadi Mohammadi-Firouzjaei1؛ Mona Adibi2؛ Hojatollah Adibi* 1
1Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave.,15914, Tehran, Iran
2Department of Health, Safety and Environment (Department of Health) Amirkabir University of Technology, No. 424, Hafez Ave.,15914, Tehran, Iran
چکیده
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.
کلیدواژه‌ها
Local discontinuous Galerkin method؛ Fractional compartmental model؛ Pharmacokinetics
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