Superconvergence of interpolated collocation solutions for weakly singular Volterra integral equations of the second kind

DOI10.1007/s40314-021-01435-4zbMath1476.65340OpenAlexW3134415380MaRDI QIDQ1983915

Yanyan Li

Publication date: 10 September 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01435-4

zbMATH Keywords

superconvergencecollocationVolterra integral equationsweakly singular kernelssuperclosenessinterpolation postprocessinghybrid collocation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Error bounds for numerical methods for ordinary differential equations (65L70) Volterra integral equations (45D05)

Related Items (8)

Discontinuous Galerkin approximations to second-kind Volterra integral equations with weakly singular kernel ⋮ A projection method for Volterra integral equations in weighted spaces of continuous functions ⋮ Superconvergence and postprocessing of collocation methods for fractional differential equations ⋮ Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations ⋮ A novel method for linear and nonlinear fractional Volterra integral equations via cubic hat functions ⋮ Singularity separation Chebyshev collocation method for weakly singular Volterra integral equations of the second kind ⋮ Weakly singular linear Volterra integral equations: a Nyström method in weighted spaces of continuous functions ⋮ On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations

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