Special variants of collocation method for integral equations in a singular case

DOI10.3103/S1066369X1705005XzbMath1371.65136MaRDI QIDQ2399450

R. R. Zamaliev, Nazim S. Gabbasov

Publication date: 23 August 2017

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

zbMATH Keywords

collocation methodapproximate solutionspace of generalized functionslinear integral equation of the third kindtheoretical substantiationfixed singularities in its kernel

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Distributions, generalized functions, distribution spaces (46F99) Integral equations with kernels of Cauchy type (45E05) Linear integral equations (45A05)

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
• 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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