Improved error bounds for freezing solutions of linear boundary value problems

被引：2

作者：

Qu, RB ^{[1
]}

Agarwal, RP ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1998年 / 94卷 / 2-3期

关键词：

freezing techniques; linear boundary value problems; error estimates;

D O I：

10.1016/S0096-3003(97)10067-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the error in the freezing solutions of linear boundary value problems we obtain a bound which is sharper than that obtained recently by Shahruz and Schwartz [Appl. Math. Comput. 60 (1994) 285; Comput. Math. Appl. 28 (1994) 75]. A different freezing technique, "global freezing", is also proposed. It is shown that this new technique is easy to implement for numerical computation of the solutions. Moreover, the corresponding solution has an error bound similar to that of the freezing method. (C) 1998 Elsevier Science Inc. All rights reserved.

引用

页码：97 / 112

页数：16