Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/16675
Title: On one nonlinear mathematical model of blood circulation with the vessel walls reaction within the hereditary theory
Other Titles: Про одну нелінійну математичну модель кровообігу з реакцією стінок судин у рамках спадкової теорії
Authors: Пукач, Петро Ярославович
Вовк, Мирослава Іванівна
Пукач, П. П.
Pukach, P. Ya.
Vovk, M.
Pukach, P. P.
Keywords: mathematical mode
nonlinear vibrations
Galerkin method
biofactor
blood circulation
vessel
Issue Date: 2022
Citation: Пукач П. Я. Про одну нелінійну математичну модель кровообігу з реакцією стінок судин у рамках спадкової теорії / П. Я. Пукач, М. І. Вовк, П. П. Пукач // Прикарпатський вісник Наукового товариства імені Шевченка. Число. – 2022. – № 17(64). – С. 31-43.
Abstract: The research demonstrates sufficient conditions of the existence and uniqueness for the solution in the oscillation mathematical model of the blood flow under nonlinear dissipative forces action within the theory of he-reditary tube with biofactor. The obtained qualitative results advocate the application of Galerkin method to the above-mentioned problem. These re-sults facilitated the application of different (explicit and implicit) numerical methods in further studies of the dynamical characteristics of solutions in the considered oscillation mathematical models. Numerical integration of the movement equations by Runge-Kutta 4th order method and Geer 2nd or-der method in a model case within this research enabled the estimation of the influence of different physical and mechanical factors on the amplitude and frequency of the oscillation process. The use of hybrid methods for the oscillation modeling in the nonlinear isotropic elastic environment on the example of a vessel enabled the formulation of the equation of an object’s mechanical state based on energy approaches and the theory of mechanical fields in the continuous environments.
URI: http://hdl.handle.net/123456789/16675
Appears in Collections:№ 17 (64). Число

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