Special versions of the collocation method for integro-differential equations in the singular case


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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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