@Article{JCM-27-254,
author = {Ishtiaq Ali, Hermann Brunner and Tao Tang},
title = {A Spectral Method for Pantograph-Type Delay Differential Equations and Its Convergence Analysis},
journal = {Journal of Computational Mathematics},
year = {2009},
volume = {27},
number = {2-3},
pages = {254--265},
abstract = {<p style="text-align: justify;">We propose a novel numerical approach for delay differential equations with vanishing
proportional delays based on spectral methods. A Legendre-collocation method is employed
to obtain highly accurate numerical approximations to the exact solution. It is
proved theoretically and demonstrated numerically that the proposed method converges
exponentially provided that the data in the given pantograph delay differential equation
are smooth.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8571.html}
}