A Steffensen's type method in Banach spaces with applications on boundary-value problems

被引：31

作者：

Alarcon, Virginia ^{[1
]}

Amat, Sergio ^{[1
]}

Busquier, Sonia ^{[1
]}

Lopez, David J. ^{[1
]}

机构：

[1] Univ Cartagena, Dept Matemat Aplicada & Estadist, Murcia, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 216卷 / 01期

关键词：

Steffensen's scheme; shooting method; boundary-value problems;

D O I：

10.1016/j.cam.2007.05.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a modified Steffensen's type iterative scheme for the numerical solution of a system of nonlinear equations is studied. Two convergence theorems are presented. The numerical solution of boundary-value problems by the multiple shooting method using the proposed iterative scheme is analyzed. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：243 / 250

页数：8

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