Abstract
Problems. Factorized operators can be applied to speed up the processes of solving boundary value problems of non-stationary thermal conductivity and dynamic load, which will lead to the appearance of additional approximation errors. The aim of the study: to obtain formulas that allow controlling the values of these errors. Methodology of implementation: mathematical analysis, programming, numerical experiment. Research results. It is proposed to reduce these additional errors by imposing restrictions on the time step: the corresponding formulas are obtained. Conclusions. Effective formulas and algorithms for their implementation are proposed, which allow you to control the accuracy of the solution of boundary value problems of non-stationary thermal conductivity and dynamic load in schemes with factorized operators due to the limitation of the time step. Practical implementation has shown their effectiveness and expediency.
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