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Projection methods for the solution of one class of singular integrodifferential equations

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Abstract

In this paper we propose a computational scheme of the general projection method for the solution of singular integrodifferential equations in the theory of stream lines and thermal conductivity. We theoretically substantiate this scheme from the standpoint of the theory of approximate methods of functional analysis. We consider particular cases of the general projection method, namely, the method of moments and the collocation method.

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Correspondence to M. Yu. Pershagin.

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Original Russian Text © M.Yu. Pershagin, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 8, pp. 35–42.

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Pershagin, M.Y. Projection methods for the solution of one class of singular integrodifferential equations. Russ Math. 52, 28–34 (2008). https://doi.org/10.3103/S1066369X08080045

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