Geodesic
Special version of collocation method for integral equations of the third kind with fixed singulariries in a kernel
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2018), pp. 20-27

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We study a linear integral equation of the third kind with fixed singularities in a kernel. For the approximate solution of these equations in the space of generalized functions we propose and substantiate special version of the collocation method.
Keywords: integral equation of the third kind, space of the generalized functions, approximate solution, collocation method, theoretical substantiation. 
@article{IVM_2018_5_a2,
     author = {N. S. Gabbasov and Z. Kh. Galimova},
     title = {Special version of collocation method for integral equations of the third kind with fixed singulariries in a kernel},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {20--27},
     publisher = {mathdoc},
     number = {5},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_5_a2/}
}
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N. S. Gabbasov; Z. Kh. Galimova. Special version of collocation method for integral equations of the third kind with fixed singulariries in a kernel. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2018), pp. 20-27. http://geodesic.mathdoc.fr/item/IVM_2018_5_a2/