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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 7, Pages 1239–1247
DOI: https://doi.org/10.31857/S0044466920070042 (Mi zvmmf11107) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Method for experimental data processing concerning chemical reaction rates in low-atomic gases

A. A. Belovab, N. N. Kalitkinc

a Faculty of Physics, Lomonosov Moscow State University, Moscow, 119991 Russia
b RUDN University, Moscow, 117198 Russia
c Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
Citations (2)
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DOI: https://doi.org/10.31857/S0044466920070042
Abstract: A new method for joint processing of experimental data from various laboratories based on their approximation by the generalized Arrhenius law is proposed. The method is based on the construction of a system of functions that are orthogonal on a given set of points with arbitrary weights. As a result, the confidence intervals of the approximation coefficients can be estimated and the number of terms required for the approximation can be correctly determined. The performance of the method is demonstrated as applied to reactions of hydrogen combustion in air that are important at $T<1000$ K. High accuracy of reaction rate approximation is achieved.
Key words: chemical reactions, hydrogen combustion, rate constants, experimental data processing, orthogonal polynomials.
Funding agency Grant number
Russian Science Foundation 16-11-10001-П
This work was supported by the Russian Science Foundation, grant no. 16-11-10001-P.
Received: 05.10.2019
Revised: 05.10.2019
Accepted: 10.03.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 7, Pages 1199–1207
DOI: https://doi.org/10.1134/S0965542520070040
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. A. Belov, N. N. Kalitkin, “Method for experimental data processing concerning chemical reaction rates in low-atomic gases”, Zh. Vychisl. Mat. Mat. Fiz., 60:7 (2020), 1239–1247; Comput. Math. Math. Phys., 60:7 (2020), 1199–1207
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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