New approach for numerical solution of Hammerstein integral equations

被引：32

作者：

Rashidinia, J. ^{[1
]}

Zarebnia, M. ^{[1
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran 16844, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 185卷 / 01期

关键词：

nonlinear integral equations; Hammerstein equations; Sinc functions;

D O I：

10.1016/j.amc.2006.07.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use a numerical procedure for solving a class of nonlinear integral equations of the Hammerstein-type, using the globally defined Sine basis functions. Properties of the Sinc procedure are utilized to reduce the computation of the Hammerstein equations to some algebraic equations. We used some numerical examples to illustrate the accuracy and the implementation of the method. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：147 / 154

页数：8

共 18 条

[1] A CLASS OF BASES IN L2 FOR THE SPARSE REPRESENTATION OF INTEGRAL-OPERATORS [J].