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

Document Type : Research Article

Authors

1 Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave.,15914, Tehran, Iran

2 Department of Health, Safety and Environment (Department of Health) Amirkabir University of Technology, No. 424, Hafez Ave.,15914, Tehran, Iran

Abstract

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.

Keywords

Journal of Mathematical Modeling
Volume 10, Issue 2
June 2022
Pages 247-261

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