Special versions of the collocation method for integro-differential equations in the singular case
- Authors: Gabbasov N.S.1
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Affiliations:
- Kazan Federal University, Naberezhnye Chelny Institute
- Issue: Vol 53, No 9 (2017)
- Pages: 1222-1230
- Section: Numerical Methods
- URL: https://journals.rcsi.science/0012-2661/article/view/154577
- DOI: https://doi.org/10.1134/S0012266117090117
- ID: 154577
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Abstract
We study a linear integro-differential equation with a coefficient that has finiteorder zeros. We suggest and justify generalized versions of the collocation method based on special polynomials for the approximate solution of this equation in the space of distributions.
About the authors
N. S. Gabbasov
Kazan Federal University, Naberezhnye Chelny Institute
Author for correspondence.
Email: gabbasovnazim@rambler.ru
Russian Federation, Naberezhnye Chelny, 423812
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