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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:216

Article

Alarcon, Virginia¹  Amat, Sergio¹  Busquier, Sonia¹  Lopez, David J.¹ 

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

关键词: Steffensen's scheme;    shooting method;    boundary-value problems;   

DOI  :  10.1016/j.cam.2007.05.008

来源: Elsevier

【 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.

【 授权许可】

Free