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Numerical technique and computational procedure for isotachophoresis
Author(s) -
Palusinski Olgierd A.,
Su Yu,
Fife Paul C.
Publication year - 1990
Publication title -
electrophoresis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.666
H-Index - 158
eISSN - 1522-2683
pISSN - 0173-0835
DOI - 10.1002/elps.1150111104
Subject(s) - isotachophoresis , poisson's equation , uniqueness , computation , algebraic equation , mathematics , numerical analysis , differential equation , poisson distribution , mathematical analysis , electrolyte , physics , algorithm , nonlinear system , statistics , electrode , quantum mechanics
This paper presents a new numerical method for computation of solutions of prototypical equations of isotachophoresis. Numerical computation is complicated because the Poisson equation, which relates electrostatic potential to space charge density, contains a small parameter. This parameter is usually assumed to have the value of zero. Under this assumption the Poisson differential equation is replaced by an algebraic equation, which is often called the equation of electroneutrality, because it indeed states that the electrolyte is electrically neutral this assumption were not studied in the past. Here we propose an iterative procedure which allows for computation of solutions without the assumption of electroneutrality. The accuracy is controlled by a number of iterations and is limited by a computer round‐off error only. The method is based on our previously published theory of existence and uniqueness of solutions of isotachophoretic equations. Details of the computational algorithm for prototypical equations of isotachophoresis are given. A numerical example and comparison with previously published data are also provided.