kinetics in multilayer ion-exchange membrane systems with the help of the numerical shooting parallel method continued by parameters

An advanced numerical method of parallel shooting is proposed for solving steady state boundary problems in membrane electrochemistry. The advanced algorithm is described. The possibilities of the method are discussed. The possible applications to solving some boundary tasks of ordinary and singular perturbated differential equations in many-layers membrane systems are indicated. The transport task of two ions in three-layers systems at overlimiting current is solved.

If the problems of membrane electrochemistry are reduced to boundary value problems of the ordinary or singular perturbed differential equations then the considered parallel shooting method continued by parameters can used with effect both case: at under- and over-limit current in a multilayer membrane systems.