A new version of the collocation method for a class of integral equations in the singular case

DOI10.1134/S0012266113090097zbMath1285.65088MaRDI QIDQ2434664

Nazim S. Gabbasov

Publication date: 6 February 2014

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

collocation methoddistributional solutionfixed singularitieslinear integral equation of the third kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Operations with distributions and generalized functions (46F10) Integral equations with kernels of Cauchy type (45E05)

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 ⋮ Special version of the collocation method for integral equations of the second kind with singularities in the kernel ⋮ 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

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• 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
• An optimal method for third-kind integral equations
• A new version of the subdomain method for linear integral equations with fixed singularities in the kernel
• New versions of spline methods for linear integral equations whose kernels have fixed singularities
• A special version of the collocation method for integral equations of the third kind
• Linear Integral Equations of the Third Kind
• New modifications of the collocation method for a class of linear equations with a Hadamard integral

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