Publications

P. N. Vabishchevich, O. P. Iliev. Numerical solution of nonstationary problems for a system of Nernst-Planck equations. Mathematical Models and Computer Simulations, Volume 5, Issue 3, pp 229-243, 2013

P. Vabishchevich, O. Iliev

electricity and mass transfer, Nernst-Planck equations, difference scheme, quadratic non-linearity

2013

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).

2070-0482