This article discusses the construction of a mathematical model of accelerated chemical-technological processes. Usually, in practice, the problem of building models of multi-stage processes, as a rule, is complicated by the universality, uncertainty and nonlinearity of the objects being modeled, the complete or partial lack of expert experience and an analytical description of dependencies. Mathematical models describing chemical technologies are considered to break down the state into discrete stages. The study below allows us to recommend stage processes to be considered as continuous functions.