THE METHOD OF BUILDING A MATHEMATICAL MODEL OF THE PROCESS IN THE FORM OF A DIFFERENTIAL EQUATION BASED ON INTERVAL DIFFERENTIAL EQUATIONS

Abstract

Mathematical models of complex objects in the form of differential equations are widespread. However, their very construction, determination of their parameters and assessment of adequacy are quite difficult. Instead, approaches for constructing difference schemes based on interval methods have been developed. This approach allows building adequate parametrically identified models, the error of which is consistent with the error of interval data. However, such a model is closely tied to experimental data, which creates problems in its generalization to new processes and other types of data. To eliminate them, the approach of approximation of difference schemes using the corresponding differential equations is proposed. Methods of such approximation have been demonstrated, the adequacy of which has been investigated experimentally.