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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 5, Pages 859–875 (Mi zvmmf9714)  
Correct formulation and a spline method for solving a class of singular integro-differential equations

A. I. Fedotov

Chebotarev Research Institute of Mathematics and Mechanics, ul. Professora Nuzhina 1/37, Kazan, 420008 Russia
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Abstract: Conditions for the unique solvability of a class of singular integro-differential equations with Hilbertian kernels are examined. A spline method for solving such equations is justified, and numerical results are presented.
Key words: singular integro-differential equations, Hilbertian kernel, computational spline approximation.
Received: 12.03.2010
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 5, Pages 720–736
DOI: https://doi.org/10.1134/S0965542512050077
Bibliographic databases:
Document Type: Article
UDC: 519.642.7
Language: Russian
Citation: A. I. Fedotov, “Correct formulation and a spline method for solving a class of singular integro-differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012), 859–875; Comput. Math. Math. Phys., 52:5 (2012), 720–736
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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