The numerical solution of the direct chemical kinetics promplem by the Rosenbrock's and Mishelsen's methods for the stiff systems of differential equations.

In the work the problem of the stiff ODE system in the construction of the kinetic model of the cycloalumination reaction of olefins and acetylenes in the presence of a catalyst $Cp_2ZrCl_2$ is considered. the Rosenbrock's and Mishelsen's methods are considered for solving the direct kinetic problem. The rates of the reaction stages are obtained for further define the reactivity of substances. The error between the calculated and experimental data in the work is estimated.