Superconvergence in the maximum norm of a class of piecewise polynomial collocation methods for solving linear weakly singular Volterra integro-differential equations

DOI10.1216/jiea/1181074984zbMath1065.65148OpenAlexW1986676092MaRDI QIDQ1885582

Publication date: 11 November 2004

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181074984

zbMATH Keywords

error estimates superconvergence piecewise polynomial collocation method linear weakly singular Volterra integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (8)

High-order collocation methods for singular Volterra functional equations of neutral type ⋮ Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations ⋮ Spline collocation method for integro-differential equations with weakly singular kernels ⋮ Spline collocation methods for linear multi-term fractional differential equations ⋮ Smoothing transformation and spline collocation for linear fractional boundary value problems ⋮ Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations ⋮ Block boundary value methods for linear weakly singular Volterra integro-differential equations ⋮ High-Order Methods for Volterra Integral Equations with General Weak Singularities

Cites Work

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