Numerical modeling of the heat conduction equation in a layered region and experimental study of its methodological error

In this work, the methodological error of the difference solution of the heat conduction equation in a layered domain, calculated on the basis of a difference scheme obtained using the integro-interpolation method, was investigated. The choice of the method is due to the presence of gaps in the coefficients, which can lead to false convergence and, as a consequence, to results that have nothing to do with reality. This method made it possible to obtain a conservative scheme that does not exhibit false convergence. It was proved that it really converges and the results of the convergence study coincided with the theoretically expected