Mathematical Modeling in Electrochemistry
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The specific intended theme of the present volume is modeling and numerical simulation in electrochemistry. In general, theoretical analysis and simulation may be performed for a particular phenomenon or a collection of phenomena that occur in a specific system. The objective of the analysis may be to understand and elucidate the phenomena and their impact on system performance and how to design the various components of a system to harvest or to avoid a detrimental influence. Thus, the ultimate objective is to carry out either performance evaluation of an existing system and/or attempt performance prediction of a new design. The aim of this chapter is to introduce and review the nature of mathematical modeling in general and in the context of modern electrochemistry in particular. This chapter attempts to describe how current and emerging trends in hardware and software computer applications and system development are intended to assist practitioners. One rather modern trend is toward the merger of these two disciplines as computer-aided mathematical modeling.
KeywordsLaplace Equation Boundary Potential Primitive Component Schlesinger System Unknown Potential
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