New Runge-Kutta Method for Stiff Oscillatory Problems with Two Frequencies

被引：0

作者：

Fang, Yonglei ^{[1
,2
]}

Ming, Qinghe ^{[2
]}

机构：

[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China

[2] Zaozhuang Univ, Dept Math & Informat Sci, Zaozhuang 277160, Peoples R China

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 | 2009年 / 1168卷

关键词：

Runge-kutta methods; Stiff; Oscillatory systems; Frequency; INITIAL-VALUE-PROBLEMS; EXPLICIT; STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a novel Runge-Kutta method especially designed for the numerical integration of stiff oscillatory problems with two-frequency. The new method can exactly integrate the harmonic or unperturbed oscillators with different frequencies. Numerical stability and phase properties of the new method are analyzed. Numerical experiments are carried out to show the efficiency and robustness of our new method in comparison with the well known methods.

引用

页码：904 / +

页数：2

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