Numerical solutions of weakly singular Hammerstein integral equations

DOI10.1016/j.amc.2018.01.046zbMath1427.65414OpenAlexW2790892534MaRDI QIDQ2318205

Driss Sbibih, Chafik Allouch, Mohamed Tahrichi

Publication date: 14 August 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.01.046

zbMATH Keywords

superconvergenceweakly singular kernelsHammerstein equationsiterated Kantorovich methodGalerkin-type method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (9)

Error analysis of Jacobi spectral collocation methods for Fredholm-Hammerstein integral equations with weakly singular kernel ⋮ Discrete projection methods for Hammerstein integral equations on the half-line ⋮ On the numerical treatment and analysis of Hammerstein integral equation ⋮ Legendre superconvergent Galerkin-collocation type methods for Hammerstein equations ⋮ Approximation of weakly singular integral equations by sinc projection methods ⋮ Richardson Extrapolation of Superconvergent Projection-Type Methods for Hammerstein Equations* ⋮ Legendre spectral projection methods for weakly singular Hammerstein integral equations of mixed type ⋮ Numerical methods based on spline quasi-interpolating operators for Hammerstein integral equations ⋮ FRACTIONAL HERMITE DEGENERATE KERNEL METHOD FOR LINEAR FREDHOLM INTEGRAL EQUATIONS INVOLVING ENDPOINT WEAK SINGULARITIES

Cites Work

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• Galerkin's perturbation method and the general theory of approximate methods for non-linear equations

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