Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik SamU. Estestvenno-Nauchnaya Ser.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2019, Volume 25, Issue 1, Pages 97–103
DOI: https://doi.org/10.18287/2541-7525-2019-25-1-97-103
(Mi vsgu591)
 

Mathematical Modelling

The predictor-corrector method for modelling of nonlinear oscillators

V. V. Zaytseva, E. Yu. Fedyuninb

a Samara National Research University, 34, Moskovskoye shosse, Samara, 443086, Russian Federation
b Joint Stock Company Space Rocket Centre Progress, 18, Zemetsa street, Samara, 443009, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: In the work physically reasonable algorithm of numerical modeling of nonlinear oscillatory and self-oscillatory systems are offered. The algorithm is based on discrete in time model of the linear oscillator. Nonlinearity is considered by the introduction to the oscillator of additional communications by the structural analysis of an initial system. For approximation of a temporary derivative in nonlinear communications it is offered to use the scheme of the prediction and correction. In spite of the fact that theoretically the algorithm has the second order of accuracy, within the numerical experiment with Van der Pol oscillator it shows better results, than a standard method of the second order — the Heun’s method.
Keywords: oscillatory and self-oscillatory systems, nonlinearity, finite difference scheme, prediction and correction, spectrum of self-oscillations.
Received: 23.12.2018
Accepted: 18.01.2019
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: V. V. Zaytsev, E. Yu. Fedyunin, “The predictor-corrector method for modelling of nonlinear oscillators”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:1 (2019), 97–103
Citation in format AMSBIB
\Bibitem{ZayFed19}
\by V.~V.~Zaytsev, E.~Yu.~Fedyunin
\paper The predictor-corrector method for modelling of nonlinear oscillators
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2019
\vol 25
\issue 1
\pages 97--103
\mathnet{http://mi.mathnet.ru/vsgu591}
\crossref{https://doi.org/10.18287/2541-7525-2019-25-1-97-103}
\elib{https://elibrary.ru/item.asp?id=39454588}
Linking options:
  • https://www.mathnet.ru/eng/vsgu591
  • https://www.mathnet.ru/eng/vsgu/v25/i1/p97
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного университета. Естественнонаучная серия
    Statistics & downloads:
    Abstract page:168
    Full-text PDF :54
    References:41
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025