Numerical solutions for weakly singular Fredholm integral equations of the second kind

DOI10.1016/0168-9274(91)90060-DzbMath0716.65118OpenAlexW1986695776MaRDI QIDQ753462

Hideaki Kaneko, Yuesheng Xu

Publication date: 1991

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(91)90060-d

zbMATH Keywords

collocation methodintegro-differential equationsB-splinesNumerical examplesmild singularityWeakly singular integral equations

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 (6)

Singularity preserving Galerkin methods for weakly singular Fredholm integral equations ⋮ \(L_ p\)-approximation method for the numerical solution of singular integral equations ⋮ An application of approximation theory to the numerical solution of a Fredholm equation with a mild singularity ⋮ Accurate solution and approximations of the linearized BGK equation for steady Couette flow ⋮ Wavelet numerical solutions for weakly singular Fredholm integral equations of the second kind ⋮ On the numerical solution of weakly singular Fredholm integral equations of the second kind using Legendre wavelets

Cites Work

• Regularity of the solution to a class of weakly singular Fredholm integral equations of the second kind
• Fehlerabschätzung für ein numerisches Verfahren zur Auflösung linearer Integralgleichungen mit schwachsingulären Kernen
• The numerical solution of Fredholm integral equations of the second kind with singular kernels
• Product Integration for Weakly Singular Integral Equations
• A piecewise polynomial approximation to the solution of an integral equation with weakly singular kernel
• The properties of solutions of weakly singular integral equations
• An Application of Approximation Theory to Numerical Solutions for
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• The Use of Collocation as a Projection Method for Solving Linear Operator Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical solutions for weakly singular Fredholm integral equations of the second kind