Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel Space

Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel Space

<p>Abstract</p> <p>We are concerned with general third-order nonlinear boundary value problems. An existence theorem of solution is given under weaker conditions. In the meantime, an iterative algorithm with global convergence is presented. The higher order derivatives of approxima...

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Main Authors: L&#252; Xueqin, Cui Minggen
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2010/459754
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spelling doaj-8a145e6b6e4749c9a011a78312fe19e82020-11-25T02:18:56ZengSpringerOpenBoundary Value Problems1687-27621687-27702010-01-0120101459754Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel SpaceL&#252; XueqinCui Minggen<p>Abstract</p> <p>We are concerned with general third-order nonlinear boundary value problems. An existence theorem of solution is given under weaker conditions. In the meantime, an iterative algorithm with global convergence is presented. The higher order derivatives of approximate solution is obtained by using this method can approximate the corresponding derivatives of exact solution well.</p>http://www.boundaryvalueproblems.com/content/2010/459754
collection DOAJ
language English
format Article
sources DOAJ
author L&#252; Xueqin
Cui Minggen
spellingShingle L&#252; Xueqin
Cui Minggen
Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel Space
Boundary Value Problems
author_facet L&#252; Xueqin
Cui Minggen
author_sort L&#252; Xueqin
title Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel Space
title_short Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel Space
title_full Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel Space
title_fullStr Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel Space
title_full_unstemmed Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel Space
title_sort existence and numerical method for nonlinear third-order boundary value problem in the reproducing kernel space
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2010-01-01
description <p>Abstract</p> <p>We are concerned with general third-order nonlinear boundary value problems. An existence theorem of solution is given under weaker conditions. In the meantime, an iterative algorithm with global convergence is presented. The higher order derivatives of approximate solution is obtained by using this method can approximate the corresponding derivatives of exact solution well.</p>
url http://www.boundaryvalueproblems.com/content/2010/459754
work_keys_str_mv AT l252xueqin existenceandnumericalmethodfornonlinearthirdorderboundaryvalueprobleminthereproducingkernelspace
AT cuiminggen existenceandnumericalmethodfornonlinearthirdorderboundaryvalueprobleminthereproducingkernelspace
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