Numerical Algorithms

, Volume 72, Issue 4, pp 1065–1087 | Cite as

Laguerre approximation with negative integer and its application for the delay differential equation

  • Zhang Xiao-yong
  • Li Jun-lin
Original Paper


In this paper, two kinds of novel algorithms based on generalized Laguerre approximation with negative integer are presented to solve the delay differential equations. The algorithms differ from the spectral collocation method by the high sparsity of the matrices. Moreover, the use of generalized Laguerre polynomials leads to much simplified analysis and more precise error estimates. The numerical results indicate the high accuracy and the stability of long-time calculation of suggested algorithm.


Pseudospectral method Delay differential equation Convergence 

Mathematics Subject Classification (2010)

65M70 41A30 81Q05 


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of MathematicsShanghai Maritime UniversityShanghaiChina
  2. 2.Taiyuan University of Science and TechnologyTaiyuanChina

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