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This article is cited in 3 scientific papers (total in 3 papers)
The approximate solution of singular integral equations
I. V. Boikov Kazan State University
Abstract:
A computational scheme of collocation type is proposed for a singular
linear integral equation with a power singularity in the regular integral
and the justification is given. The results obtained are used to justify
the approximate solution of the singular integral equation
$$
K(x)\equiv a(t)x(t)+\frac{b(t)}{\pi i}\int_{|\tau|=1}\frac{x(\tau)d\tau}{\tau-t}+
\frac1{2\pi i}\int_{|\tau|=1}\frac{h(t,\tau)x(\tau)}{|\tau-t|^\delta}d\tau=f(t)
$$
by a modification of the method of minimal residuals.
Received: 13.10.1970
Citation:
I. V. Boikov, “The approximate solution of singular integral equations”, Mat. Zametki, 12:2 (1972), 177–186; Math. Notes, 12:2 (1972), 541–546
Linking options:
https://www.mathnet.ru/eng/mzm9866 https://www.mathnet.ru/eng/mzm/v12/i2/p177
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Abstract page: | 225 | Full-text PDF : | 72 | First page: | 1 |
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