On numerical solving integral equations of the third kind with singularities in a kernel

In the present paper we study a linear integral equation of the third kind with fixed singularities in a kernel. We propose and investigate certain special generalized methods for the approximate solving of these equations in the space of generalized functions.

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Bibliographic Details
Published in:Russian mathematics 2016-12, Vol.60 (12), p.28-35
Main Authors: Gabbasov, N. S., Galimova, Z. Kh
Format: Article
Language:English
Subjects:
Kernels
Mathematics
Mathematics and Statistics
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Description
Summary:In the present paper we study a linear integral equation of the third kind with fixed singularities in a kernel. We propose and investigate certain special generalized methods for the approximate solving of these equations in the space of generalized functions.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X16120057