Artyukh, A.Sidorov, M.2018-03-292018-03-292014A. Artyukh Mathematical modeling and numerical analysis of nonstationary plane-parallel flows of viscous incompressible fluid by r-functions and galerkin method / A. Artyukh, M. Sidorov // Econtechmod. An international quarterly journal on economics in technology,new technologies and modelling processes – 2014. – Vol. 3, № 3 – P. 3–11.http://openarchive.nure.ua/handle/document/4440This 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 solutionennonstationary flowincompressible fluidstream functionmethod of successive approximationArticle