Metadata (abstracts and keywords) for the articles in the journal
T. S. Aleroev, M. V. Gasanov Indignation moving singularity and analytical approximate solution of a nonlinear third-order equations // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2021. № 1(47). p. 16-27
Author(s):
T. S. Aleroev, M. V. Gasanov
Index of UDK:
539.374
DOI:
10.37972/chgpu.2021.1.47.002
Title:
Indignation moving singularity and analytical approximate solution of a nonlinear third-order equations
Keywords:
wave processes, elastic beam, nonlinear differential equations, moving singular point, analytical approximate solution, a priori estimate.
Abstracts:
This paper presents a study of one class of nonlinear differential equations with movable singular points. On the basis of the previously proved theorem of existence and uniqueness of the solution, the structure of the analytical approximate solution was obtained, for which, in this work, the influence of the perturbation of a moving singular point was established. Results are tested using a numerical experiment. To optimize the prior estimates, the posterior estimate was used.
The contact details of authors:
Aleroev Temirkhan Sultanovich,
Professor, Doctor of Physical and Mathematical Sciences, Moscow State University of Civil Engineering, Moscow, Russia.
Gasanov Magomedyusuf Vladimirovich,
Teacher, Moscow State University of Civil Engineering, Moscow, Russia.
Russian
English