Geodesic
Approximate solution to integral equation with logarithmic kernel of special form
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2016), pp. 40-47

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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
Mots-clés : quadrature formula. 
@article{IVM_2016_2_a5,
     author = {I. N. Meleshko and P. G. Lasyi},
     title = {Approximate solution to integral equation with logarithmic kernel of special form},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {40--47},
     publisher = {mathdoc},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_2_a5/}
}
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I. N. Meleshko; P. G. Lasyi. Approximate solution to integral equation with logarithmic kernel of special form. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2016), pp. 40-47. http://geodesic.mathdoc.fr/item/IVM_2016_2_a5/