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Generalized Laguerre Spectral Method for Ordinary Differential Equation

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2 Author(s)
Xiao-yong Zhang ; Dept. of Math., Shanghai Maritime Univ., Shanghai, China ; Yan Li

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.

Published in:

Computational Sciences and Optimization (CSO), 2011 Fourth International Joint Conference on

Date of Conference:

15-19 April 2011