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/}
}
TY - JOUR AU - N. S. Gabbasov AU - Z. Kh. Galimova TI - Special version of collocation method for integral equations of the third kind with fixed singulariries in a kernel JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2018 SP - 20 EP - 27 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2018_5_a2/ LA - ru ID - IVM_2018_5_a2 ER -
%0 Journal Article %A N. S. Gabbasov %A Z. Kh. Galimova %T Special version of collocation method for integral equations of the third kind with fixed singulariries in a kernel %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2018 %P 20-27 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2018_5_a2/ %G ru %F IVM_2018_5_a2
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/