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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 9, Pages 1579–1588 (Mi zvmmf4750)  
This article is cited in 4 scientific papers (total in 4 papers)

Properties of finite-difference schemes for singular integrodifferential equations of index 1

E. V. Chistyakova

Institute of Dynamic Systems and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia
Full-text PDF (888 kB) Citations (4)
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Abstract: Systems of integrodifferential equations with a singular matrix multiplying the highest derivative of the unknown vector function are considered. An existence theorem is formulated, and a numerical solution method is proposed. The solutions to singular systems of integrodifferential equations are unstable with respect to small perturbations in the initial data. The influence of initial perturbations on the behavior of numerical processes is analyzed. It is shown that the finite-difference schemes proposed for the systems under study are self-regularizing.
Key words: singular integrodifferential equations, difference solution method, influence of initial perturbations on the behavior of a numerical solution.
Received: 11.01.2008
Revised: 16.03.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 9, Pages 1507–1515
DOI: https://doi.org/10.1134/S096554250909005X
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: E. V. Chistyakova, “Properties of finite-difference schemes for singular integrodifferential equations of index 1”, Zh. Vychisl. Mat. Mat. Fiz., 49:9 (2009), 1579–1588; Comput. Math. Math. Phys., 49:9 (2009), 1507–1515
Citation in format AMSBIB
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    • This publication is cited in the following 4 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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    References:42
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