Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904518 | Acta Mathematica Scientia | 2017 | 10 Pages |
Abstract
This paper is concerned with obtaining theapproximate solution for Volterra-Hammerstein integral equation with a regular kernel. We choose the Gauss points associated with the Legendre weight function Ï(x)=1 as the collocation points. The Legendre collocation discretization is proposed for Volterra-Hammerstein integral equation. We provide an error analysis which justifies that the errors of approximate solution decay exponentially in L2 norm and Lâ norm. We give two numerical examples in order to illustrate the validity of the proposed Legendre spectral collocation method.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Yunxia WEI, Yanping CHEN,