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 approach and coincide well with theoretical analysis.
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Acknowledgments
This research is financially supported by the Fundamental Research Funds for the Central Universities.
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© 2013 Springer-Verlag London
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Zhang, Xy., Jia, Hl. (2013). Generalized Laguerre Approximation in Ordinary Differential Equation. In: Zhong, Z. (eds) Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012. Lecture Notes in Electrical Engineering, vol 216. Springer, London. https://doi.org/10.1007/978-1-4471-4856-2_83
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DOI: https://doi.org/10.1007/978-1-4471-4856-2_83
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