Hybrid collocation methods for eigenvalue problem of a compact integral operator with weakly singular kernel

DOI10.1016/j.amc.2018.01.058zbMath1427.65424OpenAlexW2791930948MaRDI QIDQ2001640

Bijaya Laxmi Panigrahi

Publication date: 10 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.01.058

zbMATH Keywords

convergence rateseigenvalue problemweakly singular kernelhybrid collocation methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05) Eigenvalue problems for integral equations (45C05)

Related Items (1)

The economized monic Chebyshev polynomials for solving weakly singular Fredholm integral equations of the first kind

Cites Work

• A fast collocation method for eigen-problems of weakly singular integral operators
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• Piecewise Continuous Collocation for Integral Equations
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• Galerkin Methods for Second Kind Integral Equations with Singularities
• Spectral Approximation for Compact Operators
• Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind
• A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels
• Linear integral equations
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