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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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