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Generalized Laguerre function spectral method for second order ordinary differential equation

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2 Author(s)
Xiaoyong Zhang ; Department of Mathematics, Shanghai Maritime University, Pudong Road, 1550, 200135, China ; Yan Li

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.

Published in:

International Conference on Information Science and Technology

Date of Conference:

26-28 March 2011