Legendre–Gauss–Lobatto spectral collocation method for nonlinear delay differential equations
Legendre–Gauss–Lobatto spectral collocation method for nonlinear delay differential equations
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DOI：
10.1002/mma.2769
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发表时间：
2013-12
影响因子：
2.9
通讯作者：
Yi Li-jun;Li Zi-Qiang;Wang Zhong-qing
中科院分区：
文献类型：
--
作者：
Yi Li-jun;Li Zi-Qiang;Wang Zhong-qing
采用Legendre-Gauss-Lobatto谱配置方法数值求解一类非线性时滞微分方程组。针对单步方案设计了一种有效的算法，并将其应用于多域情况。作为理论结果，我们得到了单步情形的一般收敛定理。数值结果表明，该算法在时间精度和延迟变元方面都具有较高的精度，并且具有较强的鲁棒性和较高的实现效率。版权所有©2013 John Wiley&Sons，Ltd.
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.