| 一个绝对稳定区域较大的3阶线性3步法公式 |
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| 引用本文： | 刘冬兵,杨大地.一个绝对稳定区域较大的3阶线性3步法公式[J].攀枝花学院学报,2008,25(6). |
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| 作者姓名： | 刘冬兵 杨大地 |
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| 作者单位： | 1. 攀枝花学院计算机学院,四川攀枝花,617000
2. 重庆大学数理学院,重庆,400044 |
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| 摘 要： | 推导了一个3阶的隐式线性3步法公式,它的绝对稳定区间达到(-9.3333,0),可用于常微分方程初值问题的求解,且具有较好的稳定性。公式的相容性和收敛性在文章中得到验证,并描绘出稳定区域。最后用数值试验证明了此公式对中等刚性问题的有效性。
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| 关 键 词： | 刚性方程 线性多步法 绝对稳定区域 |
A Linear 3-step Formula of 3-order with a Large Absolutely Stable Region |
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| Liu Dong-bing,Yang Da-di.A Linear 3-step Formula of 3-order with a Large Absolutely Stable Region[J].Journal of Panzhihua University,2008,25(6). |
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| Authors: | Liu Dong-bing Yang Da-di |
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| Institution: | Liu Dong-bing1,Yang Da-di2 |
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| Abstract: | This paper deals with the derivation of a implicit linear 3-step formula of 3-order in which its absolutely stable interval could reach(-9.3333,0).It can be used to solve initial value problems of ordinary differential equation and has better stability.In this article,we deduce the formula and prove its consistency and convergence.At the same time,we draw the absolutely stable region and verify its validity for some questions of moderately stiff equations by numerical experiment. |
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| Keywords: | stiff equation linear multi-step methods absolutely stable region |
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