Legendre Spectral Projection Methods for Fredholm–Hammerstein Integral Equations

被引：0
作者：
Payel Das
Mitali Madhumita Sahani
Gnaneshwar Nelakanti
Guangqing Long
机构：
[1] Indian Institute of Technology,Department of Mathematics
[2] KIIT University,Department of Mathematics, School of Applied Sciences
[3] GuangXi Teachers Education University,Department of Mathematics
来源：
Journal of Scientific Computing | 2016年 / 68卷
关键词：
Hammerstein integral equations; Smooth kernels; Spectral method; Galerkin method; Collocation method; Legendre polynomials; Superconvergence rates;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the Legendre spectral Galerkin and Legendre spectral collocation methods to approximate the solution of Hammerstein integral equation. The convergence of the approximate solutions to the actual solution is discussed and the rates of convergence are obtained. We are able to obtain similar superconvergence rates for the iterated Legendre Galerkin solution for Hammerstein integral equations with smooth kernel as in the case of piecewise polynomial based Galerkin method.
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页码：213 / 230
页数：17
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