Discrete Legendre Collocation Methods for Fredholm-Hammerstein Integral Equations with Weakly Singular Kernel

被引：0
|
作者：
Panigrahi, Bijaya Laxmi [1 ]
机构：
[1] Sambalpur Univ, Dept Math, Sambalpur 768019, Odisha, India
来源：
MATHEMATICS AND COMPUTING (ICMC 2018) | 2018年 / 253卷
关键词：
Hammerstein integral equations; Weakly singular kernels; Spectral methods; Collocation methods; Legendre polynomials; SPECTRAL PROJECTION METHODS; SUPERCONVERGENCE;
D O I：
10.1007/978-981-13-2095-8_25
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we discuss the discrete Legendre collocation methods for Fredholm-Hammerstein integral equations with the weakly singular kernel. Using sufficiently accurate quadrature rule, we obtain the convergence rates for the discrete Legendre collocation solutions to the actual solution in both L-2 and infinity norm. Numerical examples are presented to validate the theoretical estimates.
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页码：315 / 328
页数：14
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