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.
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.
出处
《重庆工学院学报（自然科学版）》
2008年第1期55-58,共4页
Journal of Chongqing Institute of Technology
基金
国家自然科学基金资助项目(10671132)
关键词
刚性方程
线性多步法
绝对稳定性
绝对稳定区域
stiff equation
linear multi-step method
absolute stability
absolutely stable region
