ASYMPTOTIC ERROR EXPANSION FOR THE NYSTROM METHOD FOR NONLINEAR FREDHOLM INTEGRAL-EQUATIONS OF THE 2ND KIND

被引：11

作者：

HAN, GQ ^{[1
]}

机构：

[1] S CHINA UNIV TECHNOL,DEPT COMP SCI,CANTON,PEOPLES R CHINA

来源：

BIT | 1994年 / 34卷 / 02期

关键词：

AMS subject classification: 65R20; error expansion; Fredholm integral equation; Richardson extrapolation;

D O I：

10.1007/BF01955872

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper the asymptotic error expansion for the Nystrom method for one-dimensional nonlinear Fredholm integral equations of the second kind is considered. We show that the Nystrom solution admits an error expansion in powers of the step-size h. Thus Richardson's extrapolation can be performed on the solution, and this will greatly increase the accuracy of the numerical solution.

引用

页码：254 / 261

页数：8

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