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Публікація Mathematical modeling and numerical analysis of nonstationary plane-parallel flows of viscous incompressible fluid by r-functions and galerkin method(LUBLIN–RZESZOW, 2014) Artyukh, A.; Sidorov, M.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 solutionПублікація Modeling of processes of spontaneous ignition using Rothe’s and two-sided approximation methods(2023) Kalinichenko, A.; Sidorov, M.This work is devoted to the Rothe’s method in combination with the twosided approximation method for the spontaneous ignition processes modeling. Mathematical model of self-ignition processes presented as an 2D initialboundary value problem for a semilinear heat conduction equation. The power of the internal heat source is approximated by exponential dependence, based on the Arrhenius equation.