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Generalized Collocation Method for Integro-Differential Equations in an Exceptional Case

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Abstract

We study a linear integro-differential equation with a coefficient that has finite-order zeros. To solve the equation approximately in a distribution space, we suggest and substantiate a generalized collocation method based on special interpolation polynomials.

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Authors and Affiliations

  1. Naberezhnye Chelny Institute of Kazan Federal University, Naberezhnye Chelny, 423812, Russia

    N. S. Gabbasov

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  1. N. S. Gabbasov
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Correspondence to N. S. Gabbasov.

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Original Russian Text © N.S. Gabbasov, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 7, pp. 902–908.

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Gabbasov, N.S. Generalized Collocation Method for Integro-Differential Equations in an Exceptional Case. Diff Equat 54, 881–888 (2018). https://doi.org/10.1134/S0012266118070054

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  • DOI: https://doi.org/10.1134/S0012266118070054

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