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Calcul des couches limites dans une membrane porteuse de charges électriques fixes. (French) Zbl 0598.65060
The authors consider the problem of the passage of ions across a membrane. They give a sketch of a proof for an existence theorem for the solution of the differential equations. They refer to previous work on the problem by J. Henry and B. Louro [Analyse asymptotique des équations de l’électrochimie sous l’hypothèse de l’électroneutralité, C. R. Acad. Sci., Paris, Ser. I, 301, No.16, 763-766 (1985)] and poit out that the difficulties associated with singular perturbations may be resolved by the use of ”correctors”. They compare a few experimental results with theoretical results obtained by the collocation method, the ”corrector” method and the continuation method. In some cases order bounds are given but these are not of practical use as the constants cannot be calculated.
Reviewer: Ll.G.Chambers

MSC:
65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
34E15 Singular perturbations, general theory for ordinary differential equations
78A35 Motion of charged particles
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References:
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