常微分方程的广义拉盖尔谱法

2011 Fourth International Joint Conference on Computational Sciences and Optimization Pub Date : 2011-04-15 DOI:10.1109/CSO.2011.139

Xiao-yong Zhang, Yan Li

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引用次数: 0

摘要

本文基于改进的广义拉盖尔近似，提出了二阶常微分方程的广义拉盖尔谱法，该方法对动力系统的长时间数值模拟非常有效。证明了所提算法的全局收敛性。数值结果表明，新方法的谱精度与理论分析吻合较好。

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Generalized Laguerre Spectral Method for Ordinary Differential Equation

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.

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2011 Fourth International Joint Conference on Computational Sciences and Optimization

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