Free mesh radial basis function collocation approach for the numerical solution of system of multi-ion electrolytes

The main objective of this work is to show the versatility of an innovative mesh-free numerical scheme, which allows the solution of the coupled transport equations governing the evolution of a system of multi-ion electrolytes, by mean of the use of radial basis functions interpolation and a nesting approach. The nesting approach is used in order to capture the detail behaviour of the solution near a solid wall i.e. at the diffusion–reaction layer. As a numerical example the problem of silver deposition on a rotating disk is analysed. The versatility of the proposed numerical scheme is proved by solving the proposed electrochemical phenomena imposing three different kinds of boundary conditions at the solid wall (Dirichlet, Neumann and Robin). The obtained numerical results are compared with simplified analytical approximation of the corresponding problems. The effect of the ligand concentration on the others species is considered and a comparison between the obtained concentration profiles for the complex AgS2O− 3 and Ag(S2O3) −3 2 when the concentration of the ligand S2O−2 3 takes different values is shown