Abstract

We study characteristics and properties of modified Godunov-Sultangazin kinetic system solution allows us to describe the nature and time of technological processes for the production of building materials based on autocatalysis reaction. This system is nonlinear, which explains the difficulty of its analytical solution. So, we use the numerical method of its investigation. The numerical results obtained and analyzed.

Highlights

  • Discrete kinetic systems, such as the Carleman system, the Godunov-Sultangazin system, the Broadwell system, are used to simulate reversible chemical reactions of autocatalysis with a different number of reagents [1, 2]

  • The study of characteristics and properties of solutions systems allows us to describe the nature and time of technological processes for the production of building materials based on autocatalysis reactions

  • The stationary solution of the problem is the position of the equilibrium, in which the reaction stops, stabilization occurs

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Summary

Introduction

Discrete kinetic systems, such as the Carleman system, the Godunov-Sultangazin system, the Broadwell system, are used to simulate reversible chemical reactions of autocatalysis with a different number of reagents [1, 2]. The study of characteristics and properties of solutions systems allows us to describe the nature and time of technological processes for the production of building materials based on autocatalysis reactions. The Godunov-Sultangazin system describes the interaction of three different components. This system is nonlinear, which explains the difficulty of its analytical solution. For the numerical solution of the problem, we apply a finite-difference method of the second-order accuracy. To study the parameters and characteristics of the numerical solution we use linear interpolation and quadrature formulas of the second order of accuracy.

Formulation of the problem
Numerical results
Conclusion
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