- Research Article
- Open Access
Existence and Numerical Method for Nonlinear Third-Order Boundary Value Problem in the Reproducing Kernel Space
- Xueqin Lü1, 2Email author and
- Minggen Cui1
- Received: 14 July 2009
- Accepted: 11 January 2010
- Published: 2 February 2010
Abstract
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.
Keywords
- Differential Equation
- Exact Solution
- Partial Differential Equation
- Ordinary Differential Equation
- Approximate Solution
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Authors’ Affiliations
(1)
Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong, 264209, China
(2)
School of Mathematics and Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, China
Copyright
© X. Lü and M. Cui. 2010
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
