Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation
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摘要
A modified Laguerre pseudospectral method is proposed for differential equations on the half-line. The numerical solutions are refined by multidomain Legendre pseudospectral approximation. Numerical results show the spectral accuracy of this approach. Some approximation results on the modified Laguerre and Legendre interpolations are established. The convergence of proposed method is proved.
论文关键词：Modified Laguerre pseudospectral method,Multidomain Legendre approximation,Differential equations on the half-line
论文评审过程：Received 8 June 2004, Revised 5 November 2004, Available online 31 May 2005.
论文官网地址：https://doi.org/10.1016/j.cam.2004.11.053
