A. ARTYUKH, M. SIDOROV

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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.

MATHEMATICAL MODELING AND NUMERICAL ANALYSIS OF NONSTATIONARY PLANE-PARALLEL FLOWS OF VISCOUS INCOMPRESSIBLE FLUID BY R-FUNCTIONS AND GALERKIN METHOD

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