@Article{NMTMA-7-149, author = {Lijun Yi and Zhongqing Wang}, title = {Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2014}, volume = {7}, number = {2}, pages = {149--178}, 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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2014.1309nm}, url = {http://global-sci.org/intro/article_detail/nmtma/5869.html} }