|
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 5, Pages 20–27
(Mi ivm9354)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Special version of collocation method for integral equations of the third kind with fixed singulariries in a kernel
N. S. Gabbasova, Z. Kh. Galimovab a Naberezhnye Chelny Institute of Kazan Federal University,
68/19 Mira Ave., Naberezhnye Chelny, 423810 Russia
b Kazan Innovation University named after B.G. Timiryasov,
53/02 Vakhitov Ave., Naberezhnye Chelny, 423815 Russia
Abstract:
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.
Received: 02.03.2017
Citation:
N. S. Gabbasov, Z. Kh. Galimova, “Special version of collocation method for integral equations of the third kind with fixed singulariries in a kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 5, 20–27; Russian Math. (Iz. VUZ), 62:5 (2018), 16–22
Linking options:
https://www.mathnet.ru/eng/ivm9354 https://www.mathnet.ru/eng/ivm/y2018/i5/p20
|
Statistics & downloads: |
Abstract page: | 159 | Full-text PDF : | 29 | References: | 20 | First page: | 5 |
|