Special Version of the Spline Method for Integral Equations of the Third Kind-
- Authors: Gabbasov N.S.1
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Affiliations:
- Naberezhnye Chelny Institute (Branch)
- Issue: Vol 55, No 9 (2019)
- Pages: 1218-1225
- Section: Numerical Methods
- URL: https://journal-vniispk.ru/0012-2661/article/view/155215
- DOI: https://doi.org/10.1134/S001226611909009X
- ID: 155215
Cite item
Abstract
We study a linear integral equation of the third kind with a coefficient having power-order zeros. A special generalized version of the spline method is proposed for approximately solving this equation in a generalized function space. We show that the method is accuracy order optimal.
About the authors
N. S. Gabbasov
Naberezhnye Chelny Institute (Branch)
Author for correspondence.
Email: gabbasovnazim@rambler.ru
Russian Federation, Naberezhnye Chelny, Tatarstan, 423812
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