Special Version of the Spline Method for Integral Equations of the Third Kind-


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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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