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

DOI10.1134/S0965542522020075zbMath1484.65338OpenAlexW4220826411MaRDI QIDQ2116594

Z. Kh. Galimova, Nazim S. Gabbasov

Publication date: 18 March 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522020075

zbMATH Keywords

approximate solutionspace of generalized functionstheoretical substantiationintegral equation of third kind

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• Special direct method for solving integral equations in the singular case
• 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
• Special version of collocation method for integral equations of the third kind with fixed singularities in a kernel
• The cubic spline-collocation method for weakly singular integral equations
• 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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