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// Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
// Archive
Zh. Vychisl. Mat. Mat. Fiz.,
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
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.
UDC:
519.642.7
Received:
12.03.2010
Fulltext:
PDF file (254 kB)
References
English version:
Computational Mathematics and Mathematical Physics, 2012,
52
:5,
720–736
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2025
Fulltext:
PDF file (254 kB)