Geodesic
Special variants of collocation method for integral equations in a special case
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2017), pp. 45-53

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We study integral equation of the third kind with fixed singularities in the kernel. For approximate solving of these equations in the space of generalized functions we propose and substantiate a new generalized variants of the collocation method.
Keywords: integral equation of the third kind, space of generalized functions, approximate solution, collocation method, theoretical substantiation. 
@article{IVM_2017_5_a4,
     author = {N. S. Gabbasov and R. R. Zamaliev},
     title = {Special variants of collocation method for integral equations in a special case},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {45--53},
     publisher = {mathdoc},
     number = {5},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_5_a4/}
}
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N. S. Gabbasov; R. R. Zamaliev. Special variants of collocation method for integral equations in a special case. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2017), pp. 45-53. http://geodesic.mathdoc.fr/item/IVM_2017_5_a4/