The stability of collocation methods for approximate solution of singular integro-differential equations

被引：0

作者：

Caraus, Iurie ^{[1
]}

Mastorakis, Nikos E. ^{[2
]}

机构：

[1] Katholieke Univ Leuven, Dept Comp Sci, Celestijnenlaan 200A, B-3001 Heverlee, Belgium

[2] AI Theologue, Athens 15773, Greece

来源：

PROCEEDINGS OF THE 3RD WSEAS INTERNATIONAL CONFERENCE ON APPLIED AND THEORETICAL MECHANICS (MECHANICS '07): TOPICS IN ADVANCED THEORETICAL AND APPLIED MECHANICS | 2007年

关键词：

condition number; stability; collocation methods; singular integro; differential equations equations (SIDE);

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this article we demonstrate that the collocation methods are stable in according with the small perturbations of coefficients, kernels and right part of studied equations. We prove that the condition number of the approximate operator exist and bounded( for the numbers n large enough). This condition number of collocation methods is appropriated with condition number for exact singular integro- differential equations equations (SIDE).

引用

页码：73 / +

页数：2