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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 07 > No. 3

 
   

Generalized Laguerre approximation and its application to ordinary differential equation

PP: 1117-1124
Author(s)
Zhang Xiao-yong, Wu Huafeng,
Abstract
In this paper, generalized Laguerre spectral method for ordinary differential equation is proposed, which is very efficient for long-time numerical simulations of dynamical systems. The global convergence of proposed algorithm is proved. Numerical results demonstrate the spectral accuracy of these new approache and coincide well with theoretical analysis.

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