Super-convergence analysis of collocation methods for linear and nonlinear third-kind Volterra integral equations with non-compact operators

Huiming Song, Zhanwen Yang and Yu Xiao

Applied Mathematics and Computation, 2022, vol. 412, issue C

Abstract: This paper concerns iterated collocation methods for linear and nonlinear Volterra integral equations (VIEs) of the third kind with noncompact operators. The optimal global and local super-convergence orders are determined under a new mesh. Finally, some numerical examples are provided to verify the convergence results.

Keywords: Volterra integral equations of third kind; Noncompact operator; Iterated collocation methods; Super-convergence order (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:412:y:2022:i:c:s0096300321006469

DOI: 10.1016/j.amc.2021.126562

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