Numerical Study of the «Oregonator» Models on the Basis of the Two-Phase Rosenbrock’s Method with Complex Coefficients
1 Prof, Dean of Department of Physics and Mathematics, Sterlitamak Branch of the Bashkir State University,
Sterlitamak, Russia
2 Postgraduate student, Department of Physics and Mathematics, Sterlitamak Branch of the Bashkir State University,
Russia, Sterlitamak
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 multi component chemical systems with complex nonlinear
dynamics.
