The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method

Abstract and Applied Analysis. 2012;2012 DOI 10.1155/2012/195310

 

Journal Homepage

Journal Title: Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)

Publisher: Hindawi Publishing Corporation

LCC Subject Category: Science: Mathematics

Country of publisher: Egypt

Language of fulltext: English

Full-text formats available: PDF, HTML, ePUB, XML

 

AUTHORS

Zhiyuan Li (Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China)
Yulan Wang (Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China)
Fugui Tan (Jining Teachers College, Jining 012000, China)

EDITORIAL INFORMATION

Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 27 weeks

 

Abstract | Full Text

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.