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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 5, Pages 45–53
(Mi ivm9236)
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This article is cited in 1 scientific paper (total in 1 paper)
Special variants of collocation method for integral equations in a special case
N. S. Gabbasova, R. R. Zamalievb a Kazan (Volga Region) Federal University, Naberezhnye Chelny Institute, 10 Syuyumbike Ave., Naberezhnye Chelny, 423812 Russia
b Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Abstract:
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.
Received: 07.10.2015
Citation:
N. S. Gabbasov, R. R. Zamaliev, “Special variants of collocation method for integral equations in a special case”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 5, 45–53; Russian Math. (Iz. VUZ), 61:5 (2017), 38–45
Linking options:
https://www.mathnet.ru/eng/ivm9236 https://www.mathnet.ru/eng/ivm/y2017/i5/p45
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Abstract page: | 145 | Full-text PDF : | 39 | References: | 43 | First page: | 8 |
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