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相拟合两导数Runge-Kutta方法

Phase- Fitted Explicit Two- Derivative Runge-Kutta Method
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摘要 本文给出求解振荡问题的相拟合两导数Runge-Kutta方法,这个方法的代数阶为4.分析了方法的数值稳定性和相误差,数值试验验证了新方法的有效性. A phase- fitted explicit two- derivative Runge- Kutta method for the numerical integration of oscillatory problems is presented. The new method is of order four. Numerical stability and phase property are analyzed. Numerical experiments are reported to show the efficiency and robustness of the new method.
作者 苏伟伟 房永磊
机构地区 枣庄学院数学与统计学院
出处 《枣庄学院学报》 2015年第2期55-60,共6页 Journal of Zaozhuang University
基金 国家自然科学基金项目(项目编号:11101357)
关键词 两导数Runge-Kutta方法 相拟合 振荡问题1 two derivatives Runge-Kutta method phase fitted oscillatory problems
分类号 O241.82 [理学—计算数学]
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枣庄学院学报
2015年 第2期

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