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
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;
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
DOI :
10.1109/CSO.2011.234
