Special version of collocation method for integral equations of the third kind with fixed singularities in a kernel

DOI10.3103/S1066369X18050031zbMath1398.65351OpenAlexW2801062391WikidataQ129925790 ScholiaQ129925790MaRDI QIDQ1795350

Z. Kh. Galimova, Nazim S. Gabbasov

Publication date: 16 October 2018

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

Full work available at URL: https://doi.org/10.3103/s1066369x18050031

zbMATH Keywords

collocation methodapproximate solutionintegral equation of the third kindtheoretical substantiationspace of the generalized functions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear integral equations (45A05)

Related Items (1)

On numerical solution of one class of integral equations of the third kind

Cites Work

• Special direct method for solving integral equations in the singular case
• New versions of spline methods for integral equations of the third kind with singularities in the kernel
• A new variant of the subdomain method for integral equations of the third kind with singularities in the kernel
• Methods for solving an integral equation of the third kind with fixed singularities in the kernel
• On numerical solving integral equations of the third kind with singularities in a kernel
• A new version of the collocation method for a class of integral equations in the singular case
• Linear Integral Equations of the Third Kind
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