| 一个绝对稳定区域较大的3阶隐式线性3步法公式 |
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| 引用本文： | 杨大地,刘晓岑.一个绝对稳定区域较大的3阶隐式线性3步法公式[J].重庆工学院学报,2008,22(1):55-58. |
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| 作者姓名： | 杨大地 刘晓岑 |
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| 作者单位： | 重庆大学数理学院 重庆400044 |
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| 摘 要： | 推导了一个3阶隐式线性3步法公式,它的绝对稳定区间达到(-67.073,0),可用于常微分方程初值问题的求解,且具有较好的稳定性.验证了公式的相容性和收敛性,并描绘出稳定区域,最后用数值试验证明了此公式对轻度或中度刚性问题的有效性.
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| 关 键 词： | 刚性方程 线性多步法 绝对稳定性 绝对稳定区域 |
A 3-order Implicit Linear 3-step Formula of a Large Absolutely Stable Region |
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| YANG Da-di,LIU Xiao-cen.A 3-order Implicit Linear 3-step Formula of a Large Absolutely Stable Region[J].Journal of Chongqing Institute of Technology,2008,22(1):55-58. |
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| Authors: | YANG Da-di LIU Xiao-cen |
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| Abstract: | This paper deduces a 3-order implicit linear 3-step formula of absolutely stable interval could reach(-67.073,0),which can be used to solve original value question of ordinary differential equation and has better stability.Its consistency and convergence is then proved and the absolutely stable region is drawn.Finally,its validity for some questions of stiff equations is demonstrated with numerical experiment. |
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| Keywords: | stiff equation linear multi-step method absolute stability absolutely stable region |
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