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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2015 Volume 55, Number 10, Pages 1703–1712 (Mi zvmmf10284)

This article is cited in 2 papers

On uniform approximations to the solution of the Abel integral equation

G. V. Khromova

Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia

Abstract: For the Abel integral equation with a continuous solution and approximately defined right-hand side, a method of regularization without restrictions on the parameter of this equation is proposed.

Key words: Abel integral equation, uniform approximations, regularization methods, convergence.

UDC: 519.642.5

Received: 26.03.2015

DOI: 10.7868/S0044466915100142


 English version:
Computational Mathematics and Mathematical Physics, 2015, 55:10, 1674–1683

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© Steklov Math. Inst. of RAS, 2024