Methods for solving an integral equation of the third kind with fixed singularities in the kernel

DOI10.1134/S0012266109090122zbMath1184.65120WikidataQ115252632 ScholiaQ115252632MaRDI QIDQ1048392

Nazim S. Gabbasov

Publication date: 12 January 2010

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

zbMATH Keywords

collocation methoddistributionsintegral equation of the third kindfixed singularities in the kernel

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Operations with distributions and generalized functions (46F10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (14)

On numerical solving integral equations of the third kind with singularities in a kernel ⋮ Direct methods for solving integro-differential equations in the singular case ⋮ 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 ⋮ New versions of spline methods for integral equations of the third kind with singularities in the kernel ⋮ A new version of the collocation method for a class of integral equations in the singular case ⋮ On numerical solution of one class of integro-differential equations in a special case ⋮ 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 ⋮ Special direct method for solving integral equations in the singular case ⋮ A special variant of the subdomain method for integral equations of the third kind with singularities in the kernel ⋮ Special version of collocation method for integral equations of the third kind with fixed singularities in a kernel ⋮ On delta-extension for a Noether operator ⋮ On numerical solution of one class of integral equations of the third kind

Cites Work

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• 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
• A special version of the collocation method for integral equations of the third kind
• Linear Integral Equations of the Third Kind

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