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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 8, Pages 1457–1466 (Mi zvmmf9526)  
This article is cited in 3 scientific papers (total in 3 papers)

Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle

I. S. Malakhova

Faculty of Mathematics, Chelyabinsk State University, ul. Brat’ev Kashirinykh 129, Chelyabinsk, 454100 Russia
Full-text PDF (221 kB) Citations (3)
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Abstract: An elliptic equation in a rectangle with coefficients depending on a fast variable and with its period being a small parameter is considered. An asymptotic expansion of the solution up to an arbitrary degree of the small parameter is constructed and substantiated by applying the two-scale expansion method.
Key words: asymptotic expansion, two-scale expansion method, boundary-layer functions, boundary value problem for an elliptic equation.
Received: 11.03.2011
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 8, Pages 1360–1368
DOI: https://doi.org/10.1134/S096554251108015X
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: I. S. Malakhova, “Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle”, Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011), 1457–1466; Comput. Math. Math. Phys., 51:8 (2011), 1360–1368
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    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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    Full-text PDF :76
    References:63
    First page:14
     
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