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, 2023, Volume 63, Number 6, Pages 881–890
DOI: https://doi.org/10.31857/S0044466923060054 (Mi zvmmf11562) 		 
General numerical methods

Stability analysis of nonclassical difference schemes for nonlinear Volterra integral equations of the second kind

M. N. Botoroevaab, M. V. Bulatova

a Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, 664033, Irkutsk, Russia
b Irkutsk State University, 664003, Irkutsk, Russia
DOI: https://doi.org/10.31857/S0044466923060054
Abstract: A family of first- and second-order accurate noniterative numerical methods is constructed for solving systems of nonlinear Volterra integral equations of the second kind. The methods are examined for $A$-, $L$-, and $P$-stability. The conclusions are illustrated by numerical results obtained for test equations with stiff and oscillating components.
Key words: nonlinear Volterra integral equations of the second kind, difference schemes, $A$-stability, $L$-stability, $P$-stability.
Funding agency Grant number
Russian Science Foundation 22-11-00173
This work was supported by the Russian Science Foundation, project no. 22-11-00173, https://rscf.ru/en/project/22-11-00173/.
Received: 03.10.2022
Revised: 03.10.2022
Accepted: 20.01.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 6, Pages 919–928
DOI: https://doi.org/10.1134/S0965542523060052
Bibliographic databases:
Document Type: Article
UDC: 517.968.2
Language: Russian
Citation: M. N. Botoroeva, M. V. Bulatov, “Stability analysis of nonclassical difference schemes for nonlinear Volterra integral equations of the second kind”, Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023), 881–890; Comput. Math. Math. Phys., 63:6 (2023), 919–928
Citation in format AMSBIB
\Bibitem{BotBul23}
\by M.~N.~Botoroeva, M.~V.~Bulatov
\paper Stability analysis of nonclassical difference schemes for nonlinear Volterra integral equations of the second kind
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 6
\pages 881--890
\mathnet{http://mi.mathnet.ru/zvmmf11562}
\crossref{https://doi.org/10.31857/S0044466923060054}
\elib{https://elibrary.ru/item.asp?id=53836684}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 6
\pages 919--928
\crossref{https://doi.org/10.1134/S0965542523060052}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11562
  • https://www.mathnet.ru/eng/zvmmf/v63/i6/p881
    • 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:67
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024