An efficient algorithm for solving Hilbert type singular integral equations of the second kind
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Publication:980009
DOI10.1016/J.CAMWA.2009.01.045zbMath1189.65308OpenAlexW2020059076MaRDI QIDQ980009
Publication date: 28 June 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2009.01.045
Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)
Related Items (8)
Numerical simulation characteristics of logging response in water injection well by reproducing kernel method ⋮ A new contraction condition and its application to weakly singular Volterra integral equations of the second kind ⋮ A fast solver for the Hilbert-type singular integral equations based on the direct Fourier spectral method ⋮ Mesh Density Functions Based on Local Bandwidth Applied to Moving Mesh Methods ⋮ Solving the generalized regularized long wave equation on the basis of a reproducing kernel space ⋮ A splitting iterative method for solving second kind integral equations in reproducing kernel spaces ⋮ A new method for solving Hilbert type singular integral equations ⋮ The reproducing kernel method for solving the system of the linear Volterra integral equations with variable coefficients
Cites Work
- The exact solution of a linear integral equation with weakly singular kernel
- A natural interpolation formula for the numerical solution of singular integral equations with Hilbert kernel
- Singular integral equations with the Hilbert kernel in theory of narrow circular strip antennas
- Numerical Quadrature of Periodic Singular Integral Equations
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