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2012 The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method
Zhiyuan Li, Yulan Wang, Fugui Tan
Abstr. Appl. Anal. 2012: 1-11 (2012). DOI: 10.1155/2012/195310

Abstract

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.

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Zhiyuan Li. Yulan Wang. Fugui Tan. "The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method." Abstr. Appl. Anal. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/195310

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1258.34035
MathSciNet: MR2984048
Digital Object Identifier: 10.1155/2012/195310

Rights: Copyright © 2012 Hindawi

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