Abstract
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.
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