Metadata (abstracts and keywords) for the articles in the journal
Orlov V.N., Kornilov A.Ya., Vorobyеva A.V. Optimization of an a priori estimate of an analytical approximate solution of one class of nonlinear third order differential equation in the field of analytics // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2024. № 2(60). p. 35-50
Author(s):
Orlov V.N., Kornilov A.Ya., Vorobyеva A.V.
Index of UDK:
517.928.4
DOI:
10.37972/chgpu.2024.60.2.003
Title:
Optimization of an a priori estimate of an analytical approximate solution of one class of nonlinear third order differential equation in the field of analytics
The paper presents a solution to the problem of the influence of a disturbance of the initial data on the analytical an approximate solution of one class of nonlinear differential equations in the domain of analyticity. The results of the work allow us to carry out the analytical continuation of the solution of the considered class of nonlinear differential equation in the domain of analyticity. In this work, an a priori estimate of the analytical approximate solution is obtained and a technology for its optimization using an a posteriori error estimate is given. The results obtained are accompanied by numerical experiments.
The contact details of authors:
Viсtor N. Orlov,Doctor of Physical and Mathematics, Docent; e-mail: orlovvn@mgsu.ru; https://orcid.org/0000-0001-7606-5490; AuthorID: 711175 Alexander Ya. Kornilov, Candidate of Physics and Mathematics, Docent; e-mail: a.kornilov@mgutm.ru; https://orcid.org/0009-0003-5435-2941; AuthorID: 161334
Alla V. Vorobyеva, Candidate of Technical Sciences, Docent; e-mail:
a.vorobiova@mgutm.ru; https://orcid.org/0000-0003-3897-9560; AuthorID: 221781
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