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


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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.

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N. Gabbasov

Kazan Federal University, Naberezhnye Chelny Institute

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Email: gabbasovnazim@rambler.ru
俄罗斯联邦, Naberezhnye Chelny, 423812

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