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Information × Registration Number 0211U009727, 0111U009255 , R & D reports Title Development of new strategies for the solution of 1d and 2d electrochemical problems for any reaction mechanism popup.stage_title Head Svir Irina Borisovna, Registration Date 15-12-2011 Organization Kharkiv National University of Radioelectronics popup.description2 The project aims to develop a new theoretical method for numerical solution of initial and boundary value problems describing electrochemical reaction mechanism of arbitrary complexity and diffusion of reagents in one-dimensional space. The research focuses on the study of mathematical models of diffusion-reaction processes at spherical and cylindrical microelectrodes for any plausible set of electrochemical reactions. Analytical and numerical methods of solution of initial and boundary value problems for systems of partial differential equations were employed. A new strategy for modelling diffusion-reaction processes at spherical and cylindrical microelectrodes with arbitrarily complex electrochemical reactions has been developed. The proposed method combines the application of analytical coordinate transformations and an adaptive computational grid. The new criterion for the adaptation of the latter is based on the analysis of the kinetic terms of the respective partial differential equations. The analysis of simulation results for several examples of electrochemical reaction mechanisms representing the most severe difficulties for the numerical simulation revealed that very high accuracy of computed electrochemical currents can be achieved for any values of chemical rate constants. Product Description popup.authors Клименко Олексій Вікторович popup.nrat_date 2020-04-02 Close