Title

THE METHOD OF RESEARCH OF THE DIRECT PROBLEM
TO THE VARIATION OF THE KINETIC PARAMETERS
WITHIN A GIVEN RANGE

Authors

Svetlana Mustafina, Vladimir Vaytiev, Igor Grigoryev
Bashkir State University
32, Validy Str., 450076, Ufa, RUSSIA

Abstract

The paper shows a technique of researching of the direct kinetic problem sensitivity to the variation of the kinetic parameters within a given range. This technique is based on use of the computing device of the interval analysis. The direct problem solution in the conditions of kinetic parameters uncertainty was received by the interval method of the solution of a Cauchy problem for differential equations system. This interval method was adapted to the problems of chemical kinetics. The interval characteristics received during this method application were used for research of reagents and products concentration sensitivity in relation to kinetic parameters of mathematical model of industrially important reaction.

History

Received: January 10, 2017
Revised: February 11, 2017
Published: February 19, 2017

AMS Classification, Key Words

AMS Subject Classification: 97M60, 65G40, 80A30
Key Words and Phrases: chemical kinetics, direct kinetic problem, interval analysis, sensitivity of the decision, uncertainty range of kinetic parameters

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Bibliography

1

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2

Mustafina S.A., Vaytiev V.A., Stepashina, E.V., Search the kinetic parameters of the reduced scheme of a-methylstyrene dimerization reaction, ARPN Journal of Engineering and Applied Sciences, 9, No. 7 (2014), 1118-1120.

3

Igor Grigoryev, Svetlana Mustafina, Global optimization of functions of several variables using parallel technologies, International Journal of Pure and Applied Mathematics, 106, No. 1 (2016), 301 - 306, doi: https://doi.org/10.12732/ijpam.v106i1.24.

4

Gulnaz Shangareeva, Igor Grigoryev, Svetlana Mustafina, Comparative analysis of numerical solution of optimal control problems, International Journal of Pure and Applied Mathematics, 110, No. 4 (2016), 645-649, doi: https://doi.org/10.12732/ijpam.v110i4.6.

5

Igor Grigoryev, Tatiana Mikhailova, Svetlana Mustafina, Modeling of radical copolymerization processes on the basis of the moments method, International Journal of Chemical Sciences, 14, No. 4 (2016), 2860-2866.

6

Igor Grigoryev, Eldar Miftakhov, Svetlana Mustafina, Mathematical modelling of the copolymerization of styrene with maleic anhydride in a homogeneous environment, International Journal of Chemical Sciences, 14, No. 1 (2016), 381-386.

7

Igor Grigoryev, Svetlana Mustafina, Oleg Larin, Numerical solution of optimal control problems by the method of successive approximations, International Journal of Pure and Applied Mathematics, 111, No. 4 (2016), 617-622, doi: https://doi.org/10.12732/ijpam.v111i4.8.

How to Cite?

DOI: 10.12732/ijpam.v112i4.11 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 4
Pages: 805 - 815

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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