On the regularity of solutions to integral equations with nonsmooth kernels on a union of open intervals

DOI10.1016/j.cam.2008.04.009zbMath1168.45003OpenAlexW1986726109MaRDI QIDQ1025881

Arvet Pedas, Gennadi Vainikko

Publication date: 23 June 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.04.009

zbMATH Keywords

Fredholm integral equationboundary singularitiescompact operatorweakly singular kernelsmoothness of the solution

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Theoretical analysis of a sinc-Nyström method for Volterra integro-differential equations and its improvement, Nyström type methods for Fredholm integral equations with weak singularities, An \(\alpha \)-robust semidiscrete finite element method for a Fokker-Planck initial-boundary value problem with variable-order fractional time derivative, FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND, Nyström-quasilinearization method and smoothing transformation for the numerical solution of nonlinear weakly singular Fredholm integral equations, A Quasi-Fast Solver for Weakly Singular Integral Equations of the Second Kind, Quadratic Spline Collocation for the Smoothed Weakly Singular Fredholm Integral Equations, On the Smoothness of the Solution of Fuzzy Volterra Integral Equations of the Second Kind with Weakly Singular Kernels

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