TY - JOUR
T1 - Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations
AU - Lijun Yi & Zhongqing Wang
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 2
SP - 149
EP - 178
PY - 2014
DA - 2014/07
SN - 7
DO - http://doi.org/10.4208/nmtma.2014.1309nm
UR - https://global-sci.org/intro/article_detail/nmtma/5869.html
KW - Legendre-Gauss spectral collocation method, second order nonlinear delay differential equations, error analysis.
AB - <p style="text-align: justify;">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.</p>