A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Ordinary Differential Equations

作者：Wang, Zhong-qing^*; Mu, Jun

来源：Numerical Mathematics: Theory, Methods and Applications , 2016, 9(4): 619-639.

DOI：10.4208/nmtma.2016.m1429

• Multiple interval Chebyshev-Gauss-Lobatto spectral collocation method
• nonlinear ordinary differential equations
• error analysis

We introduce a multiple interval Chebyshev-Gauss-Lobatto spectral collocation method for the initial value problems of the nonlinear ordinary differential equations (ODES). This method is easy to implement and possesses the high order accuracy. In addition, it is very stable and suitable for long time calculations. We also obtain the hp-version bound on the numerical error of the multiple interval collocation method under H (1) -norm. Numerical experiments confirm the theoretical expectations.

• 出版日期2016-11
• 单位上海理工大学