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2013
Journal Article
Titel
Numerical solution of nonstationary problems for a system of nernst-planck equations
Abstract
The mathematical model of electricity and mass transfer is based on the equations for charged particles (ions and cations) in the electrolyte, i.e., the Nernst-Planck equations. These equations are supplemented by the equation for the electric field and the motion equations for the electrolyte as a continuum. The paper mostly focuses on the construction of the time approximation for the approximate solution of nonstationary problems. The system of Nernst-Planck equations is characterized by a quadratic nonlinearity. Special linearization schemes are proposed for taking this into account. Computational algorithms are studied on a model problem for the binary electrolyte (two kinds of charged particles).