P. N. Davydov, M. V. Plekhanova, “Numerical solution of the linearized Oskolkov system”, Bulletin of Irkutsk State University. Series Mathematics, 2015, Volume 12,Pages <nobr>23

Numerical solution of the linearized Oskolkov system

P. N. Davydov^a, M. V. Plekhanova^bc

^a Federal Center for Cardiovascular Surgery, 2, Av. Hero of Russia Rodionov E.N., Chelyabinsk, 454003
^b National Research South Ural State University, 76, Av. Lenin, Chelyabinsk, 454080
^c Chelyabinsk State University, 129, Kashirin Brothers st., Chelyabinsk, 454001

Abstract: Difference scheme is constructed for the numerical solution of the linearized Oskolkov model for Kelvin–Voigt fluid. The approximation of the scheme with the first order, stability and convergence has been proven. Problem-oriented programs complex is worked out for the numerical solution of the corresponding problem. Сomputing experiment was realized by means of the complex.

Keywords: Kelvin–Voight fluid, Oskolkov system of equations, numerical solution of initial boundary value problem, difference scheme stability, difference scheme convergence.

UDC: 517.9