| 两类求解y″＝f（x，y）具有极小相位延迟的显式方法 |
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| 引用本文： | 向开理.两类求解y″＝f（x，y）具有极小相位延迟的显式方法[J].高校应用数学学报(A辑),1995(4). |
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| 作者姓名： | 向开理 |
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| 作者单位： | 西南石油学院 |
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| 摘 要： | 本文提出了两类数值积分二阶周期性初值问题ｙ″＝ｆ（ｘ，ｙ），ｙ（ｘ０）＝ｙ０，ｙ＇（ｘ０）＝ｙ＇０具有极小相位延迟的显式两步法。这些方法推广和改进了文献［１］－［７］中的某些方法。数值试验表明本文中的某些方法优于［１］－［７］中的某些方法。
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| 关 键 词： | 二阶周期性初值问题，相位延迟，周期区间，局部截断误差 |
TWO FAMILIES OF EXPLICIT METHODS WITH MINIMAL PHASE-LAG FOR y"=f(x,y) |
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| Xiang Kaili.TWO FAMILIES OF EXPLICIT METHODS WITH MINIMAL PHASE-LAG FOR y"=f(x,y)[J].Applied Mathematics A Journal of Chinese Universities,1995(4). |
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| Authors: | Xiang Kaili |
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| Abstract: | In this paper, two families of explicit two-step methods with minimal phase-lag for the numerical integration of second order periodic initial-value problems are suggested.These methods have the advantage of higher accuracy, considerably small phase-lag and larger interval of periodicity than the explicit methods in 1]-7]. Numerical experiments show that these methods presented in this paper are efficient. |
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| Keywords: | Second Order Periodic Initial-value Problems Phase-lag Interval of Periodicity Local Truncation Error |
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