On Galerkin Methods for Abel-Type Integral Equations

DOI10.1137/0725063zbMath0665.65096OpenAlexW2025850615MaRDI QIDQ3816953

Paul P. B. Eggermont

Publication date: 1988

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0725063

zbMATH Keywords

stabilitycollocation methodrobustnessnumerical examplesrates of convergenceAbel integral equationsquadrature methodsGalerkin methods

Mathematics Subject Classification ID

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

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A fully discrete Galerkin method for Abel-type integral equations ⋮ The Galerkin scheme for Lavrentiev's \(m\)-times iterated method to solve linear accretive Volterra integral equations of the first kind ⋮ Determining damping terms in fractional wave equations ⋮ Time-fractional Moore–Gibson–Thompson equations ⋮ Determining kernels in linear viscoelasticity ⋮ On the determination of a coefficient in a space-fractional equation with operators of Abel type ⋮ Solving Abel's type integral equation with Mikusinski's operator of fractional order ⋮ Applications of fractional calculus in solving Abel-type integral equations: surface-volume reaction problem ⋮ Best approximations of solutions of fractional-integral equations with the Riemann-Liouville operator ⋮ An efficient and stable Lagrangian matrix approach to Abel integral and integro-differential equations ⋮ Galerkin finite element method for nonlinear fractional differential equations ⋮ \(hp\)-version collocation method for a class of nonlinear Volterra integral equations of the first kind ⋮ On an inverse problem of nonlinear imaging with fractional damping ⋮ Uniform Error Estimates of Galerkin Methods for Monotone Abel-Volterra Integral Equations on the Half-Line

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