A. ARTYUKH, M. SIDOROV
Abstract . This paper is dedicated to nonstationary plane-parallel flows of viscous incompressible fluid in finite simply connected domains. Theorem of the solution uniqueness is presented. The method of successive approximation, the Galerkin method and the R-functions method are used to obtain the numerical solution, which was tested on the problem with known solution.
Key words: nonstationary flow, incompressible fluid, stream function, method of successive approximation, R-functions method, Galerkin method.