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
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;
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
DOI :
10.1109/ISIE.2011.23
