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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 2, Page 263
DOI: https://doi.org/10.7868/S0044466913020154 (Mi zvmmf9781) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An analysis of a vacuum diode model

V. P. Varin

Keldysh Institute of Applied Mathematics RAS, Miusskaya sq., 4, Moscow, 125047 Russia
Full-text PDF (94 kB) Citations (1)
DOI: https://doi.org/10.7868/S0044466913020154
Abstract: One of the vacuum diode models is written as a singular boundary value problem for two ODEs of the second order with one parameter. The parameter is unknown and must be found along with the initial conditions at the origin to satisfy the boundary conditions at the end of the interval. The problem presents considerable difficulties in its theoretical and, especially, numerical study. Here we give a complete analytical and numerical solution of this problem.
Key words: vacuum diode model, singular BVP, analytical and numerical methods, elliptic integrals.
Received: 25.04.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 2, Pages 194–204
DOI: https://doi.org/10.1134/S0965542513020115
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: English
Citation: V. P. Varin, “An analysis of a vacuum diode model”, Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013), 263; Comput. Math. Math. Phys., 53:2 (2013), 194–204
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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