Wavelet moment method for solving Fredholm integral equations of the first kind

DOI10.1016/j.amc.2006.07.165zbMath1117.65168OpenAlexW2060975606MaRDI QIDQ884610

Taher Lotfi, Mahmoud Paripour, Esmaeil Babolian

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.165

zbMATH Keywords

waveletslinear systemnumerical examplesill-posed problemmoment methodFredholm integral equations of the first kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05)

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Wavelet optimized finite difference mesh for MHD flow in a circular duct ⋮ The existence and uniqueness of solution to wavelet collocation ⋮ Theoretical investigation on error analysis of Sinc approximation for mixed Volterra-Fredholm integral equation ⋮ On the existence of approximate solution of Fredholm integral equation of the first kind by band-limited scaling function ⋮ Convergence analysis for numerical solution of Fredholm integral equation by sinc approximation ⋮ A Hermite collocation method for the approximate solutions of high-order linear Fredholm integro-differential equations

Cites Work

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• Automatic augmented Galerkin algorithms for linear first kind integral equations: Non-singular and weak-singular kernels
• Numerical expansion methods for solving integral equations by interpolation and Gauss quadrature rules
• Fast wavelet transforms and numerical algorithms I
• Computational Methods for Integral Equations
• An Augmented Galerkin Method for First Kind Fredholm Equations
• A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations
• Linear integral equations

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