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Russia Zelenograd
Section  Mathematics 
Title  On alternative to partial differential equations for the modelling of reactiondiffusion systems 
Author(s)  Nazarov M.N.^{a} 
Affiliations  National Research University of Electronic Technology^{a} 
Abstract  An alternative way for describing reactiondiffusion 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 
DOI  10.20537/vm130204 
Received  19 February 2013 
Language  Russian 
Citation  Nazarov M.N. On alternative to partial differential equations for the modelling of reactiondiffusion systems, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 2, pp. 3547. 
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