Different algorithms for transient modelling of capillary electrophore
sis have been described in several papers. Pro,srams based on such alg
orithms were applied to various modes of CE. Surprisingly, simulations
of capillary isotachophoresis (cITP) at realistic current densities (
> 1 kA/m(2)) were not reported. Using these programs for practical cIT
P conditions resulted in either severe oscillations, mass-balance viol
ation or unexpected program termination. This paper addresses several
numerical paths available for modelling one-dimensional capillary elec
trophoretic behaviour. Tests for determining the validity of the prese
nted solutions with respect to cITP were mass balance checks, zone bou
ndary thickness and the Kohlrausch regulating function. Six different
numerical schemes fulfilled these requirements, yet only few could be
used for simulating practical current density situations without causi
ng the aforementioned problems. Attention was paid to space discretiza
tion (central difference and quadratic upwind) and time integration (i
mplicit, explicit). A single computer program comprising these strateg
ies was developed. Special features for studying transient state pheno
mena were visualization of concentrations, velocities, Peclet and Cour
ant numbers, electric field strength, conductivity, pH, buffering capa
city and charge excess. All parameters could be displayed in both the
space domain (profile) as well as in the time domain (electropherogram
).