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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 2, Pages 40–47 (Mi ivm9080)  
Approximate solution to integral equation with logarithmic kernel of special form

I. N. Meleshko, P. G. Lasyi

Chair of Higher Mathematics № 2, Belarussian National Technical University, 65 Nezavisimosti ave., Minsk, 220013 Republic of Belarus
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Abstract: Based on the quadrature formula with non-negative coefficients for integral with a special logarithmic kernel, we construct and substantiate a computational pattern for solving integral equation derived from the boundary-value problem for a function, which is harmonic in the unit disk under the boundary condition of the third kind. We obtain uniform estimates of deviations of the quadrature formula and the approximate solution to integral equation.
Keywords: integral equation, logarithmic kernel, approximate solution, quadrature formula.
Received: 09.07.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 2, Pages 33–39
DOI: https://doi.org/10.3103/S1066369X16020067
Bibliographic databases:
Document Type: Article
UDC: 517.968+519.6
Language: Russian
Citation: I. N. Meleshko, P. G. Lasyi, “Approximate solution to integral equation with logarithmic kernel of special form”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2, 40–47; Russian Math. (Iz. VUZ), 60:2 (2016), 33–39
Citation in format AMSBIB
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