Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 5, Pages 52–56 (Mi vmumm182)  

This article is cited in 3 scientific papers (total in 3 papers)

Short notes

The use of Chebyshev series for approximate analytic solution of ordinary differential equations

O. B. Arushanyan, S. F. Zaletkin

Lomonosov Moscow State University, Research Computing Center
Full-text PDF (292 kB) Citations (3)
References:
Abstract: Application of Chebyshev series to solve ordinary differential equations is described. This approach is based on the approximation of the solution to a given Cauchy problem and its derivatives by partial sums of shifted Chebyshev series. The coefficients of the series are determined by an iterative process using Markov quadrature formulas. It is shown that the proposed approach can be applied to formulate an approximate analytical method for solving Cauchy problems. A number of examples are considered to illustrate the obtaining of approximate analytical solutions in the form of partial sums of shifted Chebyshev series.
Key words: ordinary differential equations, approximate analytical methods, numerical methods, orthogonal expansions, shifted Chebyshev series, Markov quadrature formulas.
Received: 14.03.2016
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 5, Pages 212–215
DOI: https://doi.org/10.3103/S0027132216050089
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: O. B. Arushanyan, S. F. Zaletkin, “The use of Chebyshev series for approximate analytic solution of ordinary differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 5, 52–56; Moscow University Mathematics Bulletin, 71:5 (2016), 212–215
Citation in format AMSBIB
\Bibitem{AruZal16}
\by O.~B.~Arushanyan, S.~F.~Zaletkin
\paper The use of Chebyshev series for approximate analytic solution of ordinary differential equations
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2016
\issue 5
\pages 52--56
\mathnet{http://mi.mathnet.ru/vmumm182}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3637835}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2016
\vol 71
\issue 5
\pages 212--215
\crossref{https://doi.org/10.3103/S0027132216050089}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000393856400008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85013877532}
Linking options:
  • https://www.mathnet.ru/eng/vmumm182
  • https://www.mathnet.ru/eng/vmumm/y2016/i5/p52
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024