Numerical realization of the problem of the flow of a viscous fluid by the R-function method in the “field-3” system

We consider the stationary flow in a cavity with a moving lid, and as a mathematical model we use a fourth-order partial differential equation in the current function with boundary conditions of Neumann and Dirichlet type. The solution is constructed using the apparatus of R-functions.Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 33, 1991, pp. 95–99.