Numerical Study of the Oregonator Models on the Basis of the Two-Phase Rozenbrock's Method with Complex Coefficients

Authors

  • Rustam Djamolovich Ikramov Bashkir State University
  • Svetlana Anatolievna Mustafina Bashkir State University

DOI:

https://doi.org/10.4186/ej.2016.20.1.155

Keywords:

Belousov-Zhabotinsky's reaction, critical reaction, deactivation, Oregonator, oscillations.

Abstract

Chemical transformations typically occur according to multiphase schemes. Changes in the concentrations of the starting materials and intermediates with time are not always described with increasing or decreasing functions. A detailed study of a complex process kinetics showed that at the presence of feedback far from equilibrium there may occur vibrational modes - periodic increase or decrease in the concentration of one of the components in time. In a numerical study of oscillating reactions there appears a problem in solving a rigid system of typical differential equations. The purpose of this study is to develop an algorithm and a program to solve the direct kinetic problem and to investigate multicomponent chemical systems with complex nonlinear dynamics.

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Author Biographies

Rustam Djamolovich Ikramov

Sterlitamak Branch of Bashkir State University, Russian Federation

Svetlana Anatolievna Mustafina

Sterlitamak Branch of Bashkir State University, Russian Federation

Published

Vol 20 No 1, Jan 29, 2016

How to Cite

[1]
R. D. Ikramov and S. A. Mustafina, “Numerical Study of the Oregonator Models on the Basis of the Two-Phase Rozenbrock’s Method with Complex Coefficients”, Eng. J., vol. 20, no. 1, pp. 155-163, Jan. 2016.