Wavelet Galerkin method for solving singular integral equations

DOI10.1590/S1807-03022012000200009zbMath1251.65177OpenAlexW2144420018MaRDI QIDQ712467

D. Kharzeev

Publication date: 16 October 2012

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

Full work available at URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000200009&lng=en&nrm=iso&tlng=en

zbMATH Keywords

numerical examplesoperational matriceslinear B-spline waveletsthresholding parameterweakly singular Fredholm integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05)

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A New Bernoulli Wavelet Method for Numerical Solutions of Nonlinear Weakly Singular Volterra Integro-Differential Equations ⋮ An operational matrix based scheme for numerical solutions of nonlinear weakly singular partial integro-differential equations ⋮ Multiscale approximation of the solution of weakly singular second kind Fredholm integral equation in Legendre multiwavelet basis ⋮ The combined reproducing kernel method and Taylor series to solve nonlinear Abel’s integral equations with weakly singular kernel ⋮ Galerkin method with new quadratic spline wavelets for integral and integro-differential equations ⋮ Two-dimensional wavelets operational method for solving Volterra weakly singular partial integro-differential equations

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