A new method of solving noisy Abel-type equations

DOI10.1006/JMAA.2000.7371zbMath0997.65142OpenAlexW2013388718MaRDI QIDQ5935551

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Publication date: 5 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ce905fb8a457f9702de00aa3f0a9babfa485edf0

zbMATH Keywords

waveletsconvergencecomparison of methodsregularizationnoisy dataAbel integral equations of first kindestimation of coefficients in orthogonal expansionstatistical samples

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (6)

On the solution of the Abel equation of the second kind by the shifted Chebyshev polynomials ⋮ Using wavelet methods to solve noisy Abel-type equations with discontinuous inputs ⋮ A fast algorithm for the inversion of Abel's transform ⋮ Using of Bernstein spectral Galerkin method for solving of weakly singular Volterra-Fredholm integral equations ⋮ B-splines and discretization in an inverse problem for Poisson processes ⋮ Approximate solution of abel integral equation

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