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Generalized Laguerre Function Approximation and Its Application to Ordinary Differential Equation

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

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.

Published in:

Intelligence Science and Information Engineering (ISIE), 2011 International Conference on

Date of Conference:

20-21 Aug. 2011