Based on a numerical solution of Laplace's equation with nonlinear boundary conditions describing the potential distribution in a galvanic bath, the thickness of the nickel deposition layer on the surface of a flat metal cathode plate was calculated for different sizes of galvanic baths and anode voltages. The study aims to increase the convergence rate of the numerical procedure in order to solve Laplace's equation with nonlinear boundary conditions by developing a numerical scheme based on Newton's method. To solve this problem, it is necessary to calculate the distribution of potentials in a galvanic bath from Laplace's equation. An important task here is to apply a more uniform coating. Since the electric field in the electrolyte is not uniform, the coating thickness at different points on the surface of detail is different. Electroplated coating has an important quantitative characteristic, which is coating thickness. Electrolytic metal coating processes are used to protect products from corrosion, decorative surface finish and other purposes.
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