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The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method
Joint Authors
Tan, Fugui
Wang, Yulan
Li, Zhiyuan
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-16
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper expands the application of reproducing kernel method to a class of third-order boundary value problems with mixed nonlinear boundary conditions.
The analytical solution is represented in the form of series in the reproducing kernel space.
The n-term approximation is obtained and is proved to converge to the analytical solution.
The numerical examples are given to demonstrate the computation efficiency of the presented method.
Results obtained by the method indicate that the method is simple and effective.
American Psychological Association (APA)
Li, Zhiyuan& Wang, Yulan& Tan, Fugui. 2012. The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-453593
Modern Language Association (MLA)
Li, Zhiyuan…[et al.]. The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method. Abstract and Applied Analysis No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-453593
American Medical Association (AMA)
Li, Zhiyuan& Wang, Yulan& Tan, Fugui. The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-453593
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453593