Methods for refining the models of steady-state chemical kinetics on the basis of perturbation theory

Autor:	T. N. Shvetsova-Shilovskaya, V. G. Gorskii, U. G. Magometbekov, M. Z. Zeinalov, Z. M. Gadzhibalaeva
Rok vydání:	2011
Předmět:	State variable Basis (linear algebra) Mathematical model Differential equation General Chemical Engineering Mathematical analysis General Chemistry Poincaré–Lindstedt method Tikhonov regularization Algebraic equation symbols.namesake symbols Applied mathematics Perturbation theory Mathematics
Zdroj:	Theoretical Foundations of Chemical Engineering. 45:368-376
ISSN:	1608-3431 0040-5795
DOI:	10.1134/s004057951104004x
Popis:	The relation between Tikhonov’s theorem on the differential equations with a small parameter and the mathematical models of steady-state chemical kinetics is traced. A new algorithm for the construction of kinetic models with the use of the degrees of completeness of steps as the state variables is presented. Anomalous cases taking place in the formation of the subsystem of algebraic equations relative to the fast variables are considered, and procedures for refining the models of quasi-equilibrium and quasi-stationary approximations on the basis of perturbation theory are described.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e6528204761d0ded22e1edea82c3ecb1 https://doi.org/10.1134/s004057951104004x Zobrazit plný text záznamu Plný text ve formátu PDF