DocumentCode
2948571
Title
Generalized Laguerre Function Approximation and Its Application to Ordinary Differential Equation
Author
Xiao-yong, Zhang ; Yan, Li
Author_Institution
Dept. of Math., Shanghai Maritime Univ., Shanghai, China
fYear
2011
fDate
20-21 Aug. 2011
Firstpage
1
Lastpage
4
Abstract
In this paper, we propose generalized Laguerre function spectral method for ordinary differential equation base on modified generalized Laguerre function 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
convergence of numerical methods; differential equations; function approximation; Laguerre function approximation; Laguerre function spectral method; dynamical system simulation; global convergence; numerical simulation; ordinary differential equation; Accuracy; Approximation algorithms; Differential equations; Function approximation; Interpolation; Polynomials; Generalized Laguerre function; ordinary differential equation; spectral method;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligence Science and Information Engineering (ISIE), 2011 International Conference on
Conference_Location
Wuhan
Print_ISBN
978-1-4577-0960-9
Electronic_ISBN
978-0-7695-4480-9
Type
conf
DOI
10.1109/ISIE.2011.23
Filename
5997362
Link To Document