A new variant of the subdomain method for integral equations of the third kind with singularities in the kernel

DOI10.3103/S1066369X11050021zbMath1232.45007OpenAlexW2017536448MaRDI QIDQ647869

R. R. Zamaliev, Nazim S. Gabbasov

Publication date: 21 November 2011

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x11050021

zbMATH Keywords

error estimateapproximate solutionspace of generalized functionsintegral equations of the third kindsubdomain methodtheoretical justification

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Theoretical approximation of solutions to integral equations (45L05)

Related Items (7)

On numerical solving integral equations of the third kind with singularities in a kernel ⋮ Special variants of collocation method for integral equations in a singular case ⋮ Optimal by the order methods of solving integral equations in a special case ⋮ A new version of the collocation method for a class of integral equations in the singular case ⋮ Special direct method for solving integral equations in the singular case ⋮ Special version of collocation method for integral equations of the third kind with fixed singularities in a kernel ⋮ On numerical solution of one class of integral equations of the third kind

Cites Work

• Methods for solving an integral equation of the third kind with fixed singularities in the kernel
• Linear Integral Equations of the Third Kind
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