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First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address.Zolotonosov Ya.D. – doctor of technical sciences, professor E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Gorskaya T.Yu. – condidate of technical sciences, associate professor E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1 Barmin K.E. – student Kazan (Volga) Federal University The organization address: 420008, Russia, Kazan, Kremlevskaya st., 18
Title of the articleMethod of collocation for equations of the problem of motion
Abstract.This work contains a mathematical model of the problem of motion in the axisymmetric channel. Numerical solution of equations for the problem of motion is proposed to calculate using the collocation method. For this purpose in the field of integration as a collocation nodes Chebyshev nodes of the first kind are taken. Given the computational scheme of the method of collocation, which leads to a system of linear matrix equations, which is solved by the method of the matrix is constructed. The results of numerical solutions in the form of the distribution graphs of velocity vectors and the pressure of a flowing part of the study of the channel are resulted. It is shown that the results of this study are consistent with the results obtained earlier by the author with the help of other computational methods. Together with differential methods it is expedient to use a collocation method for the solution of problems of hydrodynamics of a current of viscous liquid in rotating and motionless canals.
Keywords.Approximate methods, computational scheme, the task of the movement.
For citations:Zolotonosov Ya.D., Gorskaya T.Yu., Barmin K.E. Method of collocation for equations of the problem of motion // Izvestiya KGASU. 2013. №4(26) P.175-180.


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