Error estimates of projection type methods for solving weakly singular integral equations

DOI10.1007/s10958-016-2895-xzbMath1347.65190OpenAlexW2398382677MaRDI QIDQ2629068

Y. E. Youssef, Andrey A. Amosov

Publication date: 19 July 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2895-x

zbMATH Keywords

collocation methodweakly singular integral equationsprojection type methods, error estimates

Mathematics Subject Classification ID

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

Related Items (2)

Approximate Solution of the Nonlinear Fredholm Integral Equation of the Second Kind ⋮ On the regularization method for Fredholm integral equations with odd weakly singular kernel

Cites Work

• On superconvergence techniques
• Error analysis for a class of degenerate kernel methods
• A new approach to the numerical solution of integral equations
• Über die Konvergenzgeschwindigkeit projektiver Verfahren
• Four Variants of the Galerkin Method for Integral Equations of the Second Kind
• Improvement by Iteration for Compact Operator Equations
• Iterated Galerkin Method for Eigenvalue Problems
• Superconvergence of Some Projection Approximations for Weakly Singular Integral Equations Using General Grids
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