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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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 SpaceLü 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 |
Lü Xueqin Cui Minggen |
spellingShingle |
Lü Xueqin Cui Minggen Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel Space Boundary Value Problems |
author_facet |
Lü Xueqin Cui Minggen |
author_sort |
Lü 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 |
_version_ |
1724879798334914560 |