A new method for solving hypersingular integral equations of the first kind

DOI10.1016/j.aml.2010.11.028zbMath1213.45003OpenAlexW2007588759MaRDI QIDQ628256

YongFang Zhou, Zhong Chen

Publication date: 10 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.aml.2010.11.028

zbMATH Keywords

exact solutionnumerical examplesreproducing kernelhypersingular integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (13)

Numerical solution and its analysis for a system of hypersingular integral equations ⋮ A novel fast modification of the Adomian decomposition method to solve integral equations of the first kind with hypersingular kernels ⋮ A novel collocation method for numerical solution of hypersingular integral equation with singular right-hand function ⋮ Error analysis of Chebyshev polynomial-based numerical method for system of hypersingular integral equations ⋮ A new efficient method for cases of the singular integral equation of the first kind ⋮ Unnamed Item ⋮ Reproducing kernel method for solving Fredholm integro-differential equations with weakly singularity ⋮ A new modified Adomian decomposition method for solving a class of hypersingular integral equations of second kind ⋮ Stability and error analysis of the reproducing kernel Hilbert space method for the solution of weakly singular Volterra integral equation on graded mesh ⋮ Approximation of Hypersingular Integral Operators With Cauchy Kernel ⋮ Modified homotopy perturbation method for solving hypersingular integral equations of the second kind ⋮ Solving finite part singular integral equations using orthogonal polynomials ⋮ Asymptotic analysis in the anti-plane high-frequency diffraction by interface cracks

Cites Work

• Unnamed Item
• Integral equations with hypersingular kernels--theory and applications to fracture mechanics
• Approximate solution for a class of hypersingular integral equations

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