J. Strutwolf et Ww. Schoeller, DIGITAL-SIMULATION OF POTENTIAL STEP EXPERIMENTS USING THE EXTRAPOLATION METHOD, Electroanalysis, 9(18), 1997, pp. 1403-1408
For large values of the model diffusion coefficient the Crank-Nicolson
scheme produces poor numerical results, if it is used for the simulat
ion of a potential step experiment. On the other hand the Backward Eul
er or fully implicit scheme, not suffering from this drawback, is of l
ower accuracy. We apply the extrapolation method introduced by Morris
et al. to the simulation of Cottrellian diffusion and to a simple cata
lytic mechanism. The extrapolation method, does not show the oscillati
ng behavior of numerical solutions and is of higher accuracy than the
fully implicit scheme. Comparison to other implicit difference schemes
are presented. The extrapolation schemes show superior results for th
e diffusional problem and for the short time behavior of the catalytic
mechanism.