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Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations

Published online by Cambridge University Press:  28 May 2015

Lijun Yi  and
Zhongqing Wang
Lijun Yi*
Affiliation:
Department of Mathematics, Shanghai Normal University, Shanghai 200234, China Division of Computational Science of E-institute of Shanghai Universities, Shanghai 200234, China
Zhongqing Wang*
Affiliation:
Department of Mathematics, Shanghai Normal University, Shanghai 200234, China Division of Computational Science of E-institute of Shanghai Universities, Shanghai 200234, China
*
Corresponding author.Email address:ylj5152@shnu.edu.cn
Corresponding author.Email address:zqwang@shnu.edu.cn
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Abstract

In this paper, we present and analyze a single interval Legendre-Gauss spectral collocation method for solving the second order nonlinear delay differential equations with variable delays. We also propose a novel algorithm for the single interval scheme and apply it to the multiple interval scheme for more efficient implementation. Numerical examples are provided to illustrate the high accuracy of the proposed methods.

Keywords

65M7065L0565L7041A10Legendre-Gauss spectral collocation methodsecond order nonlinear delay differential equationserror analysis
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 7 , Issue 2 , May 2014 , pp. 149 - 178
Copyright
Copyright © Global Science Press Limited 2014

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