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Section
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Mathematics
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Title
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On alternative to partial differential equations for the modelling of reaction-diffusion systems
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Author(-s)
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Nazarov M.N.a
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Affiliations
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National Research University of Electronic Technologya
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Abstract
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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.
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Keywords
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chemical kinetics, catalysis, convection, diffusion
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UDC
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517.958, 544.4
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MSC
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92E20, 80A32, 76R99
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DOI
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10.20537/vm130204
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Received
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19 February 2013
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Language
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Russian
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Citation
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Nazarov M.N. On alternative to partial differential equations for the modelling of reaction-diffusion systems, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 2, pp. 35-47.
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