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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 4, Pages 669–676 (Mi zvmmf671)  
This article is cited in 2 scientific papers (total in 2 papers)

Exponentially fitted scheme for a singularly perturbed problem

K. V. Emel'yanov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (931 kB) Citations (2)
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Abstract: A singularly perturbed problem with a turning point is considered. Its approximate solution is found by applying an exponentially fitted scheme on an equidistant mesh. The solutions produced by the scheme are proved to converge uniformly with respect to the perturbation parameter to the solution of the original differential problem within the first order accuracy.
Key words: singularly perturbed problem for second-order ordinary differential equation, asymptotic expansion.
Received: 27.10.2004
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: K. V. Emel'yanov, “Exponentially fitted scheme for a singularly perturbed problem”, Zh. Vychisl. Mat. Mat. Fiz., 45:4 (2005), 669–676; Comput. Math. Math. Phys., 45:4 (2005), 645–652
Citation in format AMSBIB
\Bibitem{Eme05}
\by K.~V.~Emel'yanov
\paper Exponentially fitted scheme for a singularly perturbed problem
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 4
\pages 669--676
\mathnet{http://mi.mathnet.ru/zvmmf671}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2162710}
\zmath{https://zbmath.org/?q=an:1078.65065}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 4
\pages 645--652
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    • This publication is cited in the following 2 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 :103
    References:52
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