ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

# Differential Equations and Control Processes (Differencialnie Uravnenia i Protsesy Upravlenia)

## Mathematical Model and Numerical Scheme for Calculation of Electric Fields in Galvanic Baths with Non-conductive Screen

### Author(s):

Irina Yu. Pchelintseva

Tambov State Technical University
Tambov
Postgraduate student of the Department of Automated Decision Support Systems
ul. Sovetskaya 106, 392000, Tambov, Russian Federation

irina_yu_10@mail.ru

Yuriy V. Litovka

Tambov State Technical University
Tambov
Doctor of Technical Sciences, Professor
Professor of the Department of Automated Decision Support Systems
ul. Sovetskaya 106, 392000, Tambov, Russian Federation

polychem@list.ru

### Abstract:

A mathematical model of the electric field in a electroplating bath with a flat anode and cathode, which has an infinitely thin flat insulator wall with transverse slots, is considered. Such a non-conductive screen is necessary for a more uniform coverage of the cathode detail. In this article, a transition is made to the difference analogue of the problem. A numerical method based on Newton's method for solving nonlinear algebraic equations is described, a computational experiment for 4 slits is carried out. The obtained results show the effectiveness of the applied numerical method.

### Keywords

• coating thickness
• Laplace's equation
• Newton's method
• non-uniformity criterion

### References:

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