DocumentCode
2343745
Title
Second Order Generalized Laguerre Function Approximation and Its Applications to Fourth-Order Differential Equations
Author
Zhang Xiao-yong ; Sui Jiang Hua
Author_Institution
Dept. of Math., Shanghai Maritime Univ., Shanghai, China
fYear
2011
fDate
15-19 April 2011
Firstpage
150
Lastpage
154
Abstract
In this paper, we investigate second-order generalized Laguerre approximation. Various orthogonal projections are established. As an example of their important applications, we propose the spectral scheme for some fourth order differential equations on unbounded domain. their convergence are proved. Numerical results demonstrate the high accuracy of this new spectral method.
Keywords
differential equations; function approximation; spectral analysis; fourth-order differential equations; orthogonal projections; second order generalized Laguerre function approximation; spectral method; unbounded domain; Chebyshev approximation; Convergence; Differential equations; Equations; Function approximation; Interpolation; Second-order generalized Laguerre approximation; fourth order differential equation; spectral method;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Sciences and Optimization (CSO), 2011 Fourth International Joint Conference on
Conference_Location
Yunnan
Print_ISBN
978-1-4244-9712-6
Electronic_ISBN
978-0-7695-4335-2
Type
conf
DOI
10.1109/CSO.2011.234
Filename
5957630
Link To Document