Special direct method for solving integral equations in the singular case

DOI10.1134/S0012266114090109zbMath1309.65157MaRDI QIDQ486270

Nazim S. Gabbasov

Publication date: 15 January 2015

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

zbMATH Keywords

collocation methodHadamard finite-part integrallinear integral equation of the third kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Linear integral equations (45A05)

Related Items (5)

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 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

• 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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