Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Editorial staff
Guidelines for authors
License agreement
Editorial policy

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
Year:
Volume:
Issue:
Page:
Find






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


Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 3(28), Pages 145–151
DOI: https://doi.org/10.14498/vsgtu1079
(Mi vsgtu1079)
 

This article is cited in 17 scientific papers (total in 17 papers)

Mathematical Modeling

On a method of analytical solution of wave equation describing the oscillations sistem with moving boundaries

V. N. Anisimov, V. L. Litvinov, I. V. Korpen

Syzran' Branch of Samara State Technical University, Syzran', Samara region, Russia (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The method of analytical solution of wave equation with the conditions, assigned on the moving boundaries, is described. With the aid of the change of variables in the system of functional equations the original boundary-value problem is brought to the system of difference equations with one fixed bias, which can be solved using the Laplace integral transform. The expression for amplitude of oscillation corresponding to $n$-th dynamic mode is obtained for the first kind boundary conditions. This method makes it possible to examine the broader class of boundary conditions in comparison with other exact methods of solving the boundary-value problems with the moving boundaries.
Keywords: wave equation, variations of systems with moving boundaries, laws of boundary moving, amplitude of oscillation.
Original article submitted 10/V/2012
revision submitted – 25/VII/2012
Bibliographic databases:
Document Type: Article
UDC: 517.956.3:534.11
MSC: Primary 35L05; Secondary 35L04, 35Q70
Language: Russian
Citation: V. N. Anisimov, V. L. Litvinov, I. V. Korpen, “On a method of analytical solution of wave equation describing the oscillations sistem with moving boundaries”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(28) (2012), 145–151
Citation in format AMSBIB
\Bibitem{AniLitKor12}
\by V.~N.~Anisimov, V.~L.~Litvinov, I.~V.~Korpen
\paper On a method of analytical solution of wave equation describing the oscillations sistem with moving boundaries
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 3(28)
\pages 145--151
\mathnet{http://mi.mathnet.ru/vsgtu1079}
\crossref{https://doi.org/10.14498/vsgtu1079}
\zmath{https://zbmath.org/?q=an:06517528}
\elib{https://elibrary.ru/item.asp?id=19092391}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu1079
  • https://www.mathnet.ru/eng/vsgtu/v128/p145
  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:577
    Full-text PDF :282
    References:87
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024