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
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;
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.2011.139
