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- Title
Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations.
- Authors
Li‐jun, Yi; Zi‐qiang, Liang; Zhong‐qing, Wang
- Abstract
A Legendre-Gauss-Lobatto spectral collocation method is introduced for the numerical solutions of a class of nonlinear delay differential equations. An efficient algorithm is designed for the single-step scheme and applied to the multiple-domain case. As a theoretical result, we obtain a general convergence theorem for the single-step case. Numerical results show that the suggested algorithm enjoys high-order accuracy both in time and in the delayed argument and can be implemented in a robust and efficient manner. Copyright © 2013 John Wiley & Sons, Ltd.
- Subjects
LEGENDRE'S functions; GAUSS'S law (Electric fields); NUMERICAL solutions to difference equations; NONLINEAR difference equations; STOCHASTIC convergence; MATHEMATICS theorems
- Publication
Mathematical Methods in the Applied Sciences, 2013, Vol 36, Issue 18, p2476
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.2769