Email this article Order-optimal methods for integro-differential equations in the singular case
- Authors: Gabbasov N.S.1
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Affiliations:
- Kazan Federal University
- Issue: Vol 52, No 9 (2016)
- Pages: 1209-1218
- Section: Numerical Methods
- URL: https://journals.rcsi.science/0012-2661/article/view/154072
- DOI: https://doi.org/10.1134/S0012266116090123
- ID: 154072
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Abstract
We study a linear integro-differential equation with a coefficient that has zeros of finite orders. For its approximate solution in the space of generalized functions, we suggest and justify special generalized versions of spline methods. Their optimization in the accuracy order is carried out.
About the authors
N. S. Gabbasov
Kazan Federal University
Author for correspondence.
Email: gabbasovnazim@rambler.ru
Russian Federation, Naberezhnye Chelny
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