A stable numerical inversion of generalized Abel's integral equation

DOI10.1016/j.apnum.2011.12.008zbMath1241.65122OpenAlexW2027588519MaRDI QIDQ413626

Sandeep Dixit, Sunil Kumar, Om Prakash Singh

Publication date: 7 May 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.12.008

zbMATH Keywords

numerical examplesBernstein polynomialsAbel inversionnoise resistancealmost Bernstein operational matrix of integrationgeneralized Abel integral equation

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 (11)

Numerical solution of certain Cauchy singular integral equations using a collocation scheme ⋮ Approximate solutions of the generalized Abel's integral equations using the extension Khan's homotopy analysis transformation method ⋮ Unnamed Item ⋮ On Bernstein polynomials method to the system of Abel integral equations ⋮ Solving system of linear Stratonovich Volterra integral equations via modification of hat functions ⋮ Fractional order operational matrix methods for fractional singular integro-differential equation ⋮ Numerical schemes for the generalized Abel's integral equations ⋮ An efficient solution of system of generalized Abel integral equations using Bernstein polynomials wavelet bases ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Analytical solution of Abel integral equation arising in astrophysics via Laplace transform

Uses Software

• Abel

Cites Work

• Error attenuation in Abel inversion
• New stable numerical inversion of Abel's integral equation
• Solution of the generalized Abel integral equation
• Approximate solution of abel integral equation
• Stable Procedures for the Inversion of Abel′s Equation
• Inversion of Abel’s Integral Equation by Means of Orthogonal Polynomials
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