Optimal by the order methods of solving integral equations in a special case

DOI10.3103/S1066369X17090018zbMath1421.65031OpenAlexW2751348989MaRDI QIDQ1695287

Z. Kh. Galimova, Nazim S. Gabbasov

Publication date: 7 February 2018

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

Full work available at URL: https://doi.org/10.3103/s1066369x17090018

zbMATH Keywords

approximate solutionspace of generalized functionspolynomial splineintegral equation of the third kindHadamard finite part integraloptimization by the order

Mathematics Subject Classification ID

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
• 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
• New versions of the collocation 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
• 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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