DocumentCode
3112627
Title
Generalized Laguerre function spectral method for second order ordinary differential equation
Author
Zhang, Xiaoyong ; Li, Yan
Author_Institution
Dept. of Math., Shanghai Maritime Univ., Shanghai, China
fYear
2011
fDate
26-28 March 2011
Firstpage
210
Lastpage
216
Abstract
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.
Keywords
convergence of numerical methods; differential equations; function approximation; convergence; dynamical system; function approximation; generalized Laguerre function spectral method; second order ordinary differential equation; Approximation algorithms; Argon; Differential equations; Function approximation; Interpolation; Polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location
Nanjing
Print_ISBN
978-1-4244-9440-8
Type
conf
DOI
10.1109/ICIST.2011.5765239
Filename
5765239
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