Quadrature methods for integro-differential equations of Prandtl’s type in weighted spaces of continuous functions

Maria Carmela De Bonis and Donatella Occorsio

Applied Mathematics and Computation, 2021, vol. 393, issue C

Abstract: The paper deals with the approximate solution of integro-differential equations of Prandtl’s type. Quadrature methods involving “optimal” Lagrange interpolation processes are proposed and conditions under which they are stable and convergent in suitable weighted spaces of continuous functions are proved.

Keywords: Hypersingular integral equation; Lagrange interpolation; Quadrature method; Prandtl’s integral equation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:393:y:2021:i:c:s0096300320306743

DOI: 10.1016/j.amc.2020.125721

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