Kuttykozhaeva Sh. N.2025-12-172025-12-172011Kuttykozhaeva Sh. N. / Numerical method for solving the equation of navier-stokes / Suleyman Demirel University/ СДУ хабаршысы, 3-4(19- 20).https://repository.sdu.edu.kz/handle/123456789/2353This article presents a numerical method for solving the Navier-Stokes equations based on a variant of the fictitious domain method with continuation of the leading coefficient. A key feature of the method is that the boundary of the auxiliary domain is defined using the tangential components of velocity and pressure. This allows the construction of an efficient iterative method for numerical calculations. It is shown that the rate of convergence of the iterative method is independent of variations in a small parameter. The proposed approach provides a reliable and effective tool for the numerical solution of linear stationary Navier-Stokes equations.enAttribution-NonCommercial-ShareAlike 4.0 InternationalNavier-Stokes equationsnumerical methodfictitious domain methoditerative methodconvergenceboundary conditionsArticle