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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 5, Pages 804–818
DOI: https://doi.org/10.31857/S0044466924050099 (Mi zvmmf11751) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Partial Differential Equations

About one method for numerical solution of the Cauchy problem for singularly perturbed differential equations

D. A. Maslov

Moscow Power Engineering Institute, 111250, Moscow, Russia
Full-text PDF Citations (1)
DOI: https://doi.org/10.31857/S0044466924050099
Abstract: The paper proposes a new method for numerically solving nonlinear stiff problems, based on the numerical implementation of the method of holomorphic regularization of the Cauchy problem for singularly perturbed nonlinear differential equations.
Key words: singularly perturbed differential equation, Cauchy problem, stiffness, nonlinearity, method of holomorphic regularization, numerical solution.
Funding agency Grant number
Russian Science Foundation 23-21-00496
This work was supported by the Russian Science Foundation, project no. 23-21-00496.
Received: 10.11.2023
Revised: 10.11.2023
Accepted: 14.01.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 5, Pages 1029–1043
DOI: https://doi.org/10.1134/S0965542524700283
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: D. A. Maslov, “About one method for numerical solution of the Cauchy problem for singularly perturbed differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 64:5 (2024), 804–818; Comput. Math. Math. Phys., 64:5 (2024), 1029–1043
Citation in format AMSBIB
\Bibitem{Mas24}
\by D.~A.~Maslov
\paper About one method for numerical solution of the Cauchy problem for singularly perturbed differential equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 5
\pages 804--818
\mathnet{http://mi.mathnet.ru/zvmmf11751}
\crossref{https://doi.org/10.31857/S0044466924050099}
\elib{https://elibrary.ru/item.asp?id=74527342}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 5
\pages 1029--1043
\crossref{https://doi.org/10.1134/S0965542524700283}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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