Stability of the backward differentiation formula (FIRM) applied to electrochemical digital simulation

被引:17
作者
Britz, D
机构
[1] Kemisk Institut, Århus Universitet
来源
COMPUTERS & CHEMISTRY | 1997年 / 21卷 / 02期
关键词
digital simulation; BDF; FIRM;
D O I
10.1016/S0097-8485(96)00020-4
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
The stability, in the von Neumann sense, of the backward differentiation formula (BDF) or FIRM algorithm for electrochemical digital simulation as a function of the number of time levels k, was studied. As with ordinary differential equations, for the single (partial differential) diffusion-reaction equation examined it was found that the method becomes unstable for k > 7 (i.e. order > 6). This result was confirmed by some example simulations. Copyright (C) 1996 Elsevier Science Ltd
引用
收藏
页码:97 / 108
页数:12
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