Metadata (abstracts and keywords) for the articles in the journal
V. N. Orlov, A. M. Barzini Perturbation of initial data and analytical approximate solution of a class of nonlinear differential equations of the third order in the real domain // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2023. № 1(55). p. 52-62
Author(s):
V. N. Orlov, A. M. Barzini
Index of UDK:
517.928.4
DOI:
10.37972/chgpu.2023.55.1.007
Title:
Perturbation of initial data and analytical approximate solution of a class of nonlinear differential equations of the third order in the real domain
Keywords:
Perturbation of initial data, analytical approximate solution, nonlinear differential equation, a priori and a posteriori estimates.
Abstracts:
The paper presents a continuation of the previously obtained author’s results. The dependence of the analytical approximate solution of one class of nonlinear differential equations on the perturbation of the initial data is established. A numerical experiment was carried out, confirming the theoretical results, and a variant of optimizing a priori estimates using a posteriori ones was also given. The presented results are the final stage in the substantiation of an analytical approximate solution for nonlinear differential equations that are generally not solvable in quadratures.
The contact details of authors:
Viktor Nikolaevich Orlov, Dr. Phys. & Math. Sci., Associate Professor, Moscow State University of Civil Engineering, Moscow, Russia
Aleksandr Minchev Barzini, Undergraduate, Moscow State University of Civil Engineering, Moscow, Russia
Russian
English