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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 7, Pages 1156–1176
DOI: https://doi.org/10.31857/S0044466923050186 (Mi zvmmf11587) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Partial Differential Equations

On a method for solving a mixed boundary value problem for a parabolic equation using modified sinc-approximation operators

A. Yu. Trynin

Saratov State University, 410012, Saratov, Russia
Citations (1)
DOI: https://doi.org/10.31857/S0044466923050186
Abstract: A new method is proposed for obtaining a generalized solution of a mixed boundary value problem for a parabolic equation with boundary conditions of the third kind and a continuous initial condition. Generalized functions are understood in the sense of the sequential approach. As an intermediate approximation, a modified sinc-approximation operator is used. The solution is obtained in the form of a series uniformly converging inside the solution domain.
Key words: mixed boundary value problem, generalized solution, sinc approximations, uniform convergence.
Received: 08.12.2022
Revised: 08.12.2022
Accepted: 02.02.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 7, Pages 1264–1284
DOI: https://doi.org/10.1134/S0965542523050159
Bibliographic databases:
Document Type: Article
UDC: 517.518.8
Language: Russian
Citation: A. Yu. Trynin, “On a method for solving a mixed boundary value problem for a parabolic equation using modified sinc-approximation operators”, Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023), 1156–1176; Comput. Math. Math. Phys., 63:7 (2023), 1264–1284
Citation in format AMSBIB
\Bibitem{Try23}
\by A.~Yu.~Trynin
\paper On a method for solving a mixed boundary value problem for a parabolic equation using modified sinc-approximation operators
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 7
\pages 1156--1176
\mathnet{http://mi.mathnet.ru/zvmmf11587}
\crossref{https://doi.org/10.31857/S0044466923050186}
\elib{https://elibrary.ru/item.asp?id=54238537}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 7
\pages 1264--1284
\crossref{https://doi.org/10.1134/S0965542523050159}
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  • https://www.mathnet.ru/eng/zvmmf11587
  • https://www.mathnet.ru/eng/zvmmf/v63/i7/p1156
    • This publication is cited in the following 1 articles:
    1. N. B. Iskakova, Zh. M. Kadirbayeva, E. A. Bakirova, S. K. Kuanysh, “NUMERICAL METHOD FOR SOLVING THE BOUNDARY VALUE PROBLEM FOR THE PARABOLIC EQUATION”, jour, 21:3 (2024), 165  crossref
    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
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