Investigation of the Approximation Error of the Difference Scheme for the Mathematical Model of Hydrodynamics.

In the work, hydrodynamics equations approximation was carried out based on the calculation of the distribution of water flow velocities in different time layers. A study of the stability of equation difference scheme for calculating the pressure by the Rote method was carried out. The error of equation approximation for pressure calculation is estimated. The accuracy of the numerical solution of the problem, built on the basis of a three-layer difference scheme, depends on the error in the approximation of the initial conditions and the error accumulated during transitions between time layers. An estimate of the approximation order of the initial conditions using a change of variables is carried out. An estimate of approximation error by the difference scheme of the hydrodynamic model was obtained by expanding the functions in a Taylor series. [ABSTRACT FROM AUTHOR]