DocumentCode
2343779
Title
Generalized Laguerre Spectral Method for Ordinary Differential Equation
Author
Zhang Xiao-yong ; Li Yan
Author_Institution
Dept. of Math., Shanghai Maritime Univ., Shanghai, China
fYear
2011
fDate
15-19 April 2011
Firstpage
160
Lastpage
164
Abstract
In this paper, we propose generalized Laguerre spectral method for two order ordinary differential equation base on modified generalized Laguerre approximation, which are very efficient for long time numerical simulations of dynamical systems. The global convergence of proposed algorithms are proved. Numerical results demonstrate the spectral accuracy of these new approaches and coincide well with theoretical analysis.
Keywords
differential equations; numerical analysis; stochastic processes; dynamical systems; generalized Laguerre spectral method; modified generalized Laguerre approximation; numerical simulations; ordinary differential equation; Approximation algorithms; Convergence; Differential equations; Interpolation; Polynomials; Generalized Laguerre approximation; spectral method; two order ordinary differential equation;
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.2011.139
Filename
5957632
Link To Document