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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 1, Pages 34–45
DOI: https://doi.org/10.7868/S0044466915010068 (Mi zvmmf10133) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Cauchy problem for Tikhonov’s system in the case of a multiple root of the degenerate equation

M. V. Butuzova

Faculty of Physics, Moscow State University, Moscow, 119992, Russia
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DOI: https://doi.org/10.7868/S0044466915010068
Abstract: For a system of the Tikhonov type in the case of a double root of the degenerate equation, the asymptotics of the boundary-layer solution is constructed and justified. The character of the asymptotics and the algorithm for constructing it differ substantially from the classical case when the degenerate equation has a simple root.
Key words: singularly perturbed system of Tikhonov-type ordinary differential equations, boundary-layer asymptotics, the case of a multiple root of the degenerate equation, algorithms for construction of asymptotics.
Received: 17.05.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 1, Pages 31–42
DOI: https://doi.org/10.1134/S0965542515010066
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: M. V. Butuzova, “The Cauchy problem for Tikhonov’s system in the case of a multiple root of the degenerate equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:1 (2015), 34–45; Comput. Math. Math. Phys., 55:1 (2015), 31–42
Citation in format AMSBIB
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    		Æóðíàë âû÷èñëèòåëüíîé ìàòåìàòèêè è ìàòåìàòè÷åñêîé ôèçèêè Computational Mathematics and Mathematical Physics
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