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

✍ Scribed by Virginia Alarcón; Sergio Amat; Sonia Busquier; David J. López

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
147 KB
Volume
216
Category
Article
ISSN
0377-0427

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✦ Synopsis

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.

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✍ Meiqiang Feng; Dehong Ji; Weigao Ge 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 586 KB

This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problem of second-order differential equations with integral boundary conditions in ordered Banach spaces. The arguments are based upon a specially constructed cone and the fixed poin