An h-p version of the Chebyshev spectral collocation method for nonlinear delay differential equations
An h-p version of the Chebyshev spectral collocation method for nonlinear delay differential equations
复制标题
非线性时滞微分方程切比雪夫谱配置法的 h-p 版本
DOI：
10.1002/num.22318
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发表时间：
2019
影响因子：
3.9
通讯作者：
Yi Lijun
中科院分区：
文献类型：
--
作者：
Meng Tingting;Wang Zhongqing;Yi Lijun
我们开发并分析了一种基于切比雪夫-高斯-洛巴托点的谱配置方法，用于具有消失延迟的非线性延迟微分方程。我们在 H1 范数中导出了一个先验误差估计，该估计对于局部时间步长和局部多项式次数来说是完全明确的。提供了几个数值例子来说明理论结果。
We develop and analyze a spectral collocation method based on the Chebyshev–Gauss–Lobatto points for nonlinear delay differential equations with vanishing delays. We derive an a priori error estimate in theH1‐norm that is completely explicit with respect to the local time steps and the local polynomial degrees. Several numerical examples are provided to illustrate the theoretical results.