A SPECTRAL COLLOCATION METHOD FOR SOLVING INITIAL VALUE PROBLEMS OF FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS

被引：19

作者：

Guo, Ben-Yu ^{[1
]}

Wang, Zhong-Qing

机构：

[1] Shanghai Normal Univ, Dept Math, Guilin Rd 100, Shanghai 200234, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2010年 / 14卷 / 03期

关键词：

Numerical method based on Legendre-Gauss-Lobatto collocation; multi-step version; initial value problems of first order ODEs; spectral accuracy; INTEGRATION PROCESSES;

D O I：

10.3934/dcdsb.2010.14.1029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a spectral collocation method for solving initial value problems of first order ODEs, based on the Legendre-Gauss-Lobatto interpolation. This method is easy to be implemented and possesses the spectral accuracy. We also develop a multi-step version of this process, which is very available for long-time calculation. Numerical results demonstrate the high accuracy of suggested algorithms and coincide well with theoretical analysis.

引用

页码：1029 / 1054

页数：26

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