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International Theoretical Science Journal
Volume 57 >>> № 3 MAY — JUNE 2021
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UDC 517.9, 519.6
D.A. Klyushin1, S.I. Lyashko2, N.I. Lyashko3, O.S. Bondar4, A.A. Tymoshenko5


1 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

 dokmed5@gmail.com

2 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

 lyashko.serg@gmail.com

3 V.M. Glushkov Institute of Cybernetics, National Academy
of Sciences of Ukraine, Kyiv, Ukraine

 lyashko.natali@gmail.com

4 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

 lyashko.serg@gmail.com

5 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

 inna-andry@ukr.net

AN ANALOG OF THE GALERKIN METHOD IN PROBLEMS
OF DRUG TRANSFER IN BIOLOGICAL TISSUES

Abstract. The paper proposes an analog of the Galerkin method for the initial-boundary problem that describes the transfer of drugs in the artery wall using a drug-coated stent. The method of numerical solution of the initial-boundary-value problem is constructed and the theorems on its convergence to the solution are proved.

Keywords: Galerkin method, convection-diffusion, drug delivery, sten.



FULL TEXT

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