Laguerre approximation with negative integer and its application for the delay differential equation
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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.
KeywordsPseudospectral method Delay differential equation Convergence
Mathematics Subject Classification (2010)65M70 41A30 81Q05
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