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Zh. Vychisl. Mat. Mat. Fiz., 2009, Volume 49, Number 7, Pages 1223–1231 (Mi zvmmf4720)  

This article is cited in 9 scientific papers (total in 9 papers)

Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions

M. H. Shhanukov-Lafishev

nstitute of Computer Science and Problems of Regional Management, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, ul. I. Armand 37a, Nalchik, 360000, Russia

Abstract: The third boundary value problem for a loaded heat equation in a $p$-dimensional parallelepiped is considered. An a priori estimate for the solution to a locally one-dimensional scheme is derived, and the convergence of the scheme is proved.

Key words: boundary value problem, loaded heat equation, difference scheme, scheme convergence, total approximation, embedding theorem, a priori estimate.

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English version:
Computational Mathematics and Mathematical Physics, 2009, 49:7, 1167–1174

Bibliographic databases:

UDC: 519.632
Received: 06.06.2008

Citation: M. H. Shhanukov-Lafishev, “Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009), 1223–1231; Comput. Math. Math. Phys., 49:7 (2009), 1167–1174

Citation in format AMSBIB
\by M.~H.~Shhanukov-Lafishev
\paper Locally one-dimensional scheme for a~loaded heat equation with Robin boundary conditions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2009
\vol 49
\issue 7
\pages 1223--1231
\jour Comput. Math. Math. Phys.
\yr 2009
\vol 49
\issue 7
\pages 1167--1174

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. K. Bazzaev, “Lokalno-odnomernaya skhema dlya uravneniya teploprovodnosti s kraevymi usloviyami tretego roda”, Vladikavk. matem. zhurn., 13:1 (2011), 3–12  mathnet
    2. K. R. Aida-zade, V. M. Abdullaev, “On the numerical solution to loaded systems of ordinary differential equations with non-separated multipoint and integral conditions”, Num. Anal. Appl., 7:1 (2014), 1–14  mathnet  crossref  mathscinet  isi
    3. V. M. Abdullaev, K. R. Aida-zade, “Numerical method of solution to loaded nonlocal boundary value problems for ordinary differential equations”, Comput. Math. Math. Phys., 54:7 (2014), 1096–1109  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    4. V. M. Abdullayev, K. R. Aida-zade, “Finite-difference methods for solving loaded parabolic equations”, Comput. Math. Math. Phys., 56:1 (2016), 93–105  mathnet  crossref  crossref  isi  elib
    5. V. M. Abdullayev, K. R. Aida-zade, “Optimization of loading places and load response functions for stationary systems”, Comput. Math. Math. Phys., 57:4 (2017), 634–644  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    6. Abdullayev V.M., “Identification of the Functions of Response to Loading For Stationary Systems”, Cybern. Syst. Anal., 53:3 (2017), 417–425  crossref  mathscinet  zmath  isi  scopus
    7. Z. V. Beshtokova, M. M. Lafisheva, M. Kh. Shkhanukov-Lafishev, “Locally one-dimensional difference schemes for parabolic equations in media possessing memory”, Comput. Math. Math. Phys., 58:9 (2018), 1477–1488  mathnet  crossref  crossref  isi  elib
    8. I. V. Frolenkov, E. N. Kriger, “O razreshimosti zadachi Koshi dlya odnogo klassa mnogomernykh nagruzhennykh parabolicheskikh uravnenii”, Matematicheskii analiz, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 156, VINITI RAN, M., 2018, 41–57  mathnet  mathscinet
    9. V. M. Abdullaev, “Chislennoe reshenie kraevoi zadachi dlya nagruzhennogo parabolicheskogo uravneniya s nelokalnymi granichnymi usloviyami”, Vestnik KRAUNTs. Fiz.-mat. nauki, 32:3 (2020), 15–28  mathnet  crossref
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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