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Local discontinuous Galerkin method for the numerical solution of fractional compartmental model with application in pharmacokinetics
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نویسنده
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mohammadi-firouzjaei hadi ,adibi mona ,adibi hojatollah
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منبع
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journal of mathematical modeling - 2022 - دوره : 10 - شماره : 2 - صفحه:247 -261
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چکیده
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. this paper provides a numerical solution for the fractional multi-compartmental modelswhich are applied in pharmacokinetics. we implement the local discontinuous galerkin method forthese fractional models with the upwind numerical fluxes. to obtain high-order results with adequateaccuracy, 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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کلیدواژه
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Local discontinuous Galerkin method ,Fractional compartmental model ,Pharmacokinetics.AMS Subject Classification 2010: 34A08 ,92C45 ,65L60 ,26A33.
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آدرس
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amirkabir university of technology, faculty of mathematics and computer sciences, department of applied mathematics, Iran, amirkabir university of technology, safety and environment (department of health), department of health, Iran, amirkabir university of technology, faculty of mathematics and computer sciences, department of applied mathematics, Iran
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Authors
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