This book explains how the partial differential equations (pdes) in
electroanalytical chemistry can be solved numerically. It guides
the reader through the topic in a very didactic way, by first
introducing and discussing the basic equations along with some
model systems as test cases systematically. Then it outlines basic
numerical approximations for derivatives and techniques for the
numerical solution of ordinary differential equations. Finally,
more complicated methods for approaching the pdes are derived. The
authors describe major implicit methods in detail and show how to
handle homogeneous chemical reactions, even including coupled and
nonlinear cases. On this basis, more advanced techniques are
briefly sketched and some of the commercially available programs
are discussed. In this way the reader is systematically guided and
can learn the tools for approaching his own electrochemical
simulation problems. This new fourth edition has been carefully
revised, updated and extended compared to the previous edition
(Lecture Notes in Physics Vol. 666). It contains new material
describing migration effects, as well as arrays of
ultramicroelectrodes. It is thus the most comprehensive and
didactic introduction to the topic of electrochemical simulation.
General
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