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

被引：2
|
作者：
Allouch, C. [1 ]
Sbibih, D. [2 ]
Tahrichi, M. [3 ]
机构：
[1] Univ Mohammed 1, LAMAO Lab, Team MSC, FPN, Nador 62000, Morocco
[2] Univ Mohammed 1, LANO Lab, Team AATO, FSO, Oujda 60000, Morocco
[3] Univ Mohammed 1, LANO Lab, Team ANAA, EST, Oujda 60000, Morocco
来源：
CALCOLO | 2023年 / 60卷 / 02期
关键词：
Uryshon integral equation; Orthogonal projection; Interpolatory projection; Legendre Polynomial; Superconvergence; PROJECTION METHODS; SUPERCONVERGENCE;
D O I：
10.1007/s10092-023-00519-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：30
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