NUMERICAL STABILITY OF THE SAULYEV FINITE-DIFFERENCE ALGORITHMS FOR ELECTROCHEMICAL KINETIC SIMULATIONS - MATRIX STABILITY ANALYSIS FOR AN EXAMPLE PROBLEM INVOLVING MIXED BOUNDARY-CONDITIONS

被引：11

作者：

BIENIASZ, LK ^{[1
]}

OSTERBY, O ^{[1
]}

BRITZ, D ^{[1
]}

机构：

[1] AARHUS UNIV,DATALOG AFDELING,DK-8000 AARHUS C,DENMARK

来源：

COMPUTERS & CHEMISTRY | 1995年 / 19卷 / 04期

关键词：

D O I：

10.1016/0097-8485(95)00047-V

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The stepwise numerical stability of the Saul'yev finite difference discretization of an example diffusional initial boundary value problem from electrochemical kinetics has been investigated using the matrix method of stability analysis. Special attention has been paid to the effect of the discretization of the mixed, linear boundary condition on stability, assuming the two-point, forward-difference approximation for the gradient at the left boundary (electrode). Criteria regulating the error growth in time have been identified. In particular it has been shown that, in contrast to the claims of unconditional stability of the Saul'yev algorithms, reported in the literature, the left-right variant of the Saul'yev algorithm becomes unstable for large values of the dimensionless diffusion parameter lambda = delta t/h(2), under mixed boundary conditions. This limitation is not, however, severe for most practical applications.

引用

页码：357 / 370

页数：14

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