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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 3, Pages 496–502
DOI: https://doi.org/10.7868/S0044466914030028 (Mi zvmmf10009) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Features of behavior of numerical methods for solving Volterra integral equations of the second kind

M. V. Bulatovab, M. N. Machkhinac

a Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia
b National Research Irkutsk State Technical University
c East Siberian State Academy of Education, Nizhnyaya nab. 6, Irkutsk, 664011, Russia
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DOI: https://doi.org/10.7868/S0044466914030028
Abstract: Systems of second-kind Volterra integral equations with stiff and oscillating components are considered. An implicit noniterative method of the second order is proposed for the numerical solution of such problems. The efficiency of the method is demonstrated using several examples.
Key words: Volterra integral equations of the second kind, stiff problems, difference schemes, quadrature formulas.
Received: 14.03.2013
Revised: 27.08.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 3, Pages 505–511
DOI: https://doi.org/10.1134/S0965542514030026
Bibliographic databases:
Document Type: Article
UDC: 519.642.5
Language: Russian
Citation: M. V. Bulatov, M. N. Machkhina, “Features of behavior of numerical methods for solving Volterra integral equations of the second kind”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014), 496–502; Comput. Math. Math. Phys., 54:3 (2014), 505–511
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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