B-polynomial multiwavelets approach for the solution of Abel's integral equation

DOI10.1080/00207160802036866zbMath1182.65206OpenAlexW1968709104MaRDI QIDQ5852140

Sohrab Ali Yousefi

Publication date: 26 January 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802036866

zbMATH Keywords

numerical examplesmultiwaveletsBernstein polynomialsingular Volterra integral equationsAbel's 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)

Related Items (4)

Touchard wavelet technique for solving time-fractional Black-Scholes model ⋮ A generalized barycentric rational interpolation method for generalized Abel integral equations ⋮ An efficient solution of system of generalized Abel integral equations using Bernstein polynomials wavelet bases ⋮ Unnamed Item

Cites Work

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• Implicitly linear collocation methods for nonlinear Volterra equations
• Asymptotic error expansion of a collocation-type method for Volterra- Hammerstein integral equations
• A new approach to the numerical solution of weakly singular Volterra integral equations.
• Numerical solution of Abel's integral equation by using Legendre wavelets
• Solutions of differential equations in a Bernstein polynomial basis
• Fast wavelet transforms and numerical algorithms I
• Wavelets
• The Haar wavelets operational matrix of integration

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