Title :
Generalized Laguerre function spectral method for second order ordinary differential equation
Author :
Zhang, Xiaoyong ; Li, Yan
Author_Institution :
Dept. of Math., Shanghai Maritime Univ., Shanghai, China
Abstract :
In this paper,we propose generalized Laguerre function spectral method for second order 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; convergence; dynamical system; function approximation; generalized Laguerre function spectral method; second order ordinary differential equation; Approximation algorithms; Argon; Differential equations; Function approximation; Interpolation; Polynomials;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765239
