Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 10, Pages 1694–1702
DOI: https://doi.org/10.7868/S0044466915100026 (Mi zvmmf10283) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Method for constructing approximate analytic solutions of differential equations with a polynomial right-hand side

A. P. Afanas'eva, S. M. Dzyubab

a Institute for Information Transmission Problems, Russian Academy of Sciences, Bol’shoi Karetnyi per. 19 str. 1, Moscow, 127994, Russia
b Tver State Technical University, nab. Afanasiya Nikitina 22, Tver, 170026, Russia
Full-text PDF (253 kB) Citations (6) English version article
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466915100026
Abstract: A method for constructing approximate analytic solutions of systems of ordinary differential equations with a polynomial right-hand side is proposed. The implementation of the method is based on the Picard method of successive approximations and a procedure of continuation of local solutions. As an application, the problem of constructing the minimal sets of the Lorenz system is considered.
Key words: differential equations with polynomial right-hand side, Picard method of successive approximations, continuation of local solutions, minimum sets of the Lorenz system.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-08838
13-07-00077
Received: 12.12.2014
Revised: 28.03.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 10, Pages 1665–1673
DOI: https://doi.org/10.1134/S0965542515100024
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: A. P. Afanas'ev, S. M. Dzyuba, “Method for constructing approximate analytic solutions of differential equations with a polynomial right-hand side”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015), 1694–1702; Comput. Math. Math. Phys., 55:10 (2015), 1665–1673
Citation in format AMSBIB
\Bibitem{AfaDzy15}
\by A.~P.~Afanas'ev, S.~M.~Dzyuba
\paper Method for constructing approximate analytic solutions of differential equations with a polynomial right-hand side
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2015
\vol 55
\issue 10
\pages 1694--1702
\mathnet{http://mi.mathnet.ru/zvmmf10283}
\crossref{https://doi.org/10.7868/S0044466915100026}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3412533}
\elib{https://elibrary.ru/item.asp?id=24149959}
\transl
\jour Comput. Math. Math. Phys.
\yr 2015
\vol 55
\issue 10
\pages 1665--1673
\crossref{https://doi.org/10.1134/S0965542515100024}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000363056200007}
\elib{https://elibrary.ru/item.asp?id=24961899}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944472901}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10283
  • https://www.mathnet.ru/eng/zvmmf/v55/i10/p1694
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:485
    Full-text PDF :106
    References:106
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025