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Generalized Laguerre Interpolation and its Application to Differential Equation

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2 Author(s)
Zhang Xiao-Yong ; Dept. of Math., Shanghai Maritime Univ., Shanghai, China ; Sui Jiang Hua

In this paper, we develop the generalized Laguerre pseudospectral method for solving initial problems of second order ordinary differential equation. We also propose a multi-step version of the generalized Laguerre collocation method, which are very efficient for long-time numerical simulations. The numerical solutions possess the spectral accuracy. The global convergence of proposed algorithms are proved. Numerical results demonstrate the effectiveness of proposed methods and coincide well with theoretical analysis.

Published in:

Distributed Computing and Applications to Business, Engineering and Science (DCABES), 2011 Tenth International Symposium on

Date of Conference:

14-17 Oct. 2011