Mathematical modeling of the building materials production processes

Abstract

We propose a new mathematical model of the process of production of building materials based on the reaction of autocatalysis. Discrete kinetic models can be used to mathematically describe this process with a different number of reagents. In the case of two reagents, the Carleman discrete kinetic system can be used to describe the autocatalysis reaction. The mathematical model proposed in this paper takes into account the terms of a higher order of smallness for a small parameter. The account of these terms allows to describe more correctly process. The numerical research of the proposed mathematical model is carried out. Numerical results are presented. The analysis and comparison of the obtained numerical results with the results of the numerical study of the kinetic system of the Carleman equations is carried out.