An inverse problem of chemical kinetics in nondegenerate case Full article
| Journal |
Математические заметки СВФУ (Mathematical Notes of NEFU)
ISSN: 2411-9326 , E-ISSN: 2587-876X |
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| Output data | Year: 2023, Volume: 30, Number: 1, Pages: 63-71 Pages count : 9 DOI: 10.25587/SVFU.2023.33.27.005 | ||
| Tags | integral manifold, slow surface, singularly perturbed system, small parameter, inverse problem, ODE | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0005 |
Abstract:
The article contains a review of recent results on solving the direct and inverse problems related to a singularly perturbed system of ordinary differential equations which describe a process in chemical kinetics. We also extend the class of problems under study by considering polynomials of arbitrary degree as the right-hand parts of the differential equations in the case ε= 0. Moreover, an iteration algorithm is proposed of finding an approximate solution to the inverse problem in the nondegenerate case (ε= 0) for arbitrary degree. The theorem is proven on the convergence of the algorithm suggested. The proof is based on the contraction mapping principle (the Banach fixedpoint theorem)
Cite:
Kononenko L.I.
An inverse problem of chemical kinetics in nondegenerate case
Математические заметки СВФУ (Mathematical Notes of NEFU). 2023. V.30. N1. P.63-71. DOI: 10.25587/SVFU.2023.33.27.005 Scopus РИНЦ
An inverse problem of chemical kinetics in nondegenerate case
Математические заметки СВФУ (Mathematical Notes of NEFU). 2023. V.30. N1. P.63-71. DOI: 10.25587/SVFU.2023.33.27.005 Scopus РИНЦ
Dates:
| Submitted: | Feb 3, 2023 |
| Accepted: | Feb 28, 2023 |
| Published print: | May 11, 2023 |
| Published online: | May 11, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85158841996 |
| Elibrary: | 50819691 |
Citing:
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