Daghestan Electronic Mathematical Reports
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


Daghestan Electronic Mathematical Reports:
Year:
Volume:
Issue:
Page:
Find




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

Daghestan Electronic Mathematical Reports, 2017, Issue 8, Pages 53–60
DOI: https://doi.org/10.31029/demr.8.6 (Mi demr42) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A numerical method for solving the Cauchy problem for systems of ordinary differential equations by means of a system orthogonal in the sense of Sobolev generated by the cosine system

I. I. Sharapudinovab, M. G. Magomed-Kasumovab

a Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
b Vladikavkaz Scientific Centre of the Russian Academy of Sciences
Full-text PDF (647 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.31029/demr.8.6
Abstract: We consider iterative method that numerically solves Cauchy problem for systems of equations. Suggested method is based on using sobolev orthogonal system of functions, generated by cosine system $\{1, \sqrt{2}\cos(\pi k x), \; k \ge 1 \}$.
Keywords: Cauchy problem, numerical method, Sobolev inner product, system of differential equations.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00486a
Received: 14.11.2017
Revised: 25.12.2017
Accepted: 26.12.2017
Document Type: Article
UDC: 519.622
Language: Russian
Citation: I. I. Sharapudinov, M. G. Magomed-Kasumov, “A numerical method for solving the Cauchy problem for systems of ordinary differential equations by means of a system orthogonal in the sense of Sobolev generated by the cosine system”, Daghestan Electronic Mathematical Reports, 2017, no. 8, 53–60
Citation in format AMSBIB
\Bibitem{ShaMag17}
\by I.~I.~Sharapudinov, M.~G.~Magomed-Kasumov
\paper A numerical method for solving the Cauchy problem for systems of ordinary differential equations by means of a system orthogonal in the sense of Sobolev generated by the cosine system
\jour Daghestan Electronic Mathematical Reports
\yr 2017
\issue 8
\pages 53--60
\mathnet{http://mi.mathnet.ru/demr42}
\crossref{https://doi.org/10.31029/demr.8.6}
Linking options:
  • https://www.mathnet.ru/eng/demr42
  • https://www.mathnet.ru/eng/demr/y2017/i8/p53
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Daghestan Electronic Mathematical Reports
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024