An efficient method for approximate solution of a singular integral equation with Cauchy kernel

DOI10.1016/j.cam.2018.11.020zbMath1415.65288OpenAlexW2902085397WikidataQ128869833 ScholiaQ128869833MaRDI QIDQ1736349

Zhong Chen, Kechao Xie, Li-Hong Yang

Publication date: 26 March 2019

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.2018.11.020

zbMATH Keywords

singular integral equationsleast squares methodCauchy kernelreproducing kernel space

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximate quadratures (41A55) Integral equations with kernels of Cauchy type (45E05)

Related Items (1)

Numerical solution of certain Cauchy singular integral equations using a collocation scheme

Uses Software

• Octave

Cites Work

• Unnamed Item
• A note on solving Cauchy integral equations of the first kind by iterations
• Solution of crack problems. The distributed dislocation technique
• Quadrature formula for approximating the singular integral of Cauchy type with unbounded weight function on the edges
• Spline product quadrature rules for Cauchy singular integrals
• A new efficient method for cases of the singular integral equation of the first kind
• Application of Jacobi polynomials to approximate solution of a singular integral equation with Cauchy kernel
• Galerkin's method for operator equations with nonnegative index - With application to Cauchy singular integral equations
• The convergence of a collocation method for a class of Cauchy singular integral equations
• The approximation of Cauchy-type integrals by some kinds of interpolatory splines
• New error bounds for modified quadrature formulas for Cauchy principal value integrals
• Perturbation theory for linear operators.
• Nonlinear singular integral equations in elastodynamics by using Hilbert transformations
• A collocation scheme for a certain Cauchy singular integral equation based on the superconvergence analysis
• Numerical evaluation for Cauchy type singular integrals on the interval
• A Note on the Numerical Solution for Fredholm Integral Equation of the Second Kind with Cauchy kernel
• Scientific Computing with MATLAB and Octave
• A new efficient method with error analysis for solving the second kind Fredholm integral equation with Cauchy kernel

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