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01.06.2023

Spectral approximation methods for nonlinear integral equations with non-smooth kernels

verfasst von: C. Allouch, D. Sbibih, M. Tahrichi

Erschienen in: Calcolo | Ausgabe 2/2023

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Abstract

In this paper, polynomially based projection and modified projection methods for approximating the solution of Uryshon integral equations with a kernel of Green’s function type are proposed. The projection is either an orthogonal projection or an interpolatory projection using Legendre polynomial basis. The orders of convergence of these methods and the superconvergence of their iterated versions are analyzed. A numerical example is given to illustrate the theoretical results.

Vorheriger Artikel On the convergence of numerical integration as a finite matrix approximation to multiplication operator

Nächster Artikel Positivity preserving truncated scheme for the stochastic Lotka–Volterra model with small moment convergence

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Titel: Spectral approximation methods for nonlinear integral equations with non-smooth kernels
verfasst von: C. Allouch
D. Sbibih
M. Tahrichi
Publikationsdatum: 01.06.2023
Verlag: Springer International Publishing
Erschienen in: Calcolo / Ausgabe 2/2023
Print ISSN: 0008-0624
Elektronische ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-023-00519-3

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Spectral approximation methods for nonlinear integral equations with non-smooth kernels

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