This article is cited in 3 papers

MATHEMATICS

On alternative to partial differential equations for the modelling of reaction–diffusion systems

M. N. Nazarov

Moscow Institute of Electronic Technology, Zelenograd, Moscow, Russia

Abstract: An alternative way for describing reaction-diffusion systems of chemical kinetics on the basis of ordinary differential equations is considered in this paper. Under this approach, diffusion of matter and heat transfer in the model are taken into account without going to the partial derivatives, but only by increasing the number of variables and the addition of corrective coefficients in the original equations. As a base model of chemical kinetics was chosen the one, in which there was no such drawbacks of classical models, as the inconsistency of the equations on the dimension or scale.

Keywords: chemical kinetics, catalysis, convection, diffusion.

UDC: 517.958+544.4

MSC: 92E20, 80A32, 76R99

Received: 19.02.2013

DOI: 10.20537/vm130204