TY - JOUR N2 - The basic objective of the research is to construct a difference model of the melt motion. The existence of a solution to the problem is proven in the paper. It is also proven the convergence of the difference problem solution to the original problem solution of the melt motion. The Rothe method is implemented to study the Navier–Stokes equations, which provides the study of the boundary value problems correctness for a viscous incompressible flow both numerically and analytically. L1 - http://journals.pan.pl/Content/120826/art06.pdf L2 - http://journals.pan.pl/Content/120826 PY - 2021 IS - No 3 EP - 627 DO - 10.24425/acs.2021.138694 KW - Navier–Stokes equations KW - hydrodynamic KW - approximations KW - mathematical models KW - melt A1 - Kazhikenova, Saule Sh. A1 - Shaltakov, Sagyndyk N. A1 - Nussupbekov, Bekbolat R. PB - Committee of Automatic Control and Robotics PAS VL - vol. 31 DA - 2021.09.27 T1 - Difference melt model SP - 607 UR - http://journals.pan.pl/dlibra/publication/edition/120826 T2 - Archives of Control Sciences ER -