Convergence analysis of the operational tau method for Abel-type Volterra integral equations

zbMath1302.65282MaRDI QIDQ468257

Payam Mokhtary, Farideh Ghoreishi

Publication date: 6 November 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol41/abstract_vol41_pp289-305.html

zbMATH Keywords

stabilityconvergenceregularizationerror analysisspectral tau methodoperational tau methodAbel-type Volterra integral equationsJacobi basis functions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)

Related Items (8)

Numerical treatment of a well-posed Chebyshev tau method for Bagley-Torvik equation with high-order of accuracy ⋮ Numerical analysis of an operational Jacobi tau method for fractional weakly singular integro-differential equations ⋮ High-order Legendre collocation method for fractional-order linear semi-explicit differential algebraic equations ⋮ Generalized Jacobi-Galerkin method for nonlinear fractional differential algebraic equations ⋮ An efficient formulation of Chebyshev tau method for constant coefficients systems of multi-order FDEs ⋮ A novel Petrov-Galerkin method for a class of linear systems of fractional differential equations ⋮ A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay ⋮ Numerical solution of a class of fractional order integro-differential algebraic equations using Müntz-Jacobi tau method

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