Investigation of Physical Processes in the Gas Discharge Region Between Liquid Electrodes

Comparison of the Smallest Squares and Smallest Modules Methods in Modeling Processing of Materials by Plasma of a Gas-Vapor Discharge with Liquid Electrodes

“…This process is accompanied by the release of heat, the transition of the gas-liquid state into a vapor-gas state with the formation of a layer of gas and liquid. The need to take into account a large number of processes greatly complicates the mathematical modeling of the considered physical system [6][7][9][10][11][12][13][14].…”

“…The emergence and improvement of a large number of numerical methods of mathematics is associated with applied needs. The paper compares the possibilities of using two mathematical methods -the method of least squares (MLS) [6] and the method of least modules (MLM) [7] -for processing the results of a technical experiment to study the characteristics of one of the modifications of the electric discharge. As in other areas of engineering and technology [8], the experimental study of processes in low-temperature plasma may be accompanied by the need to solve problems based on the extremal principle associated with one of the areas of mathematics -the theory of optimal control.…”

“…Most often, MLS is used to process experimental statistical information. MLM is used less often, but its statistical properties are more often better [1,[6][7]. When using the least squares, the conditions are determined for which the values of the square of the known function are the smallest.…”

“…Among a large number of factors affecting the results of the technological process of processing surfaces of products by a vapor-gas discharge between solid metal and liquid non-metal electrodes, there are the electric current in the discharge and the voltage drop in the interelectrode gap [6][7][9][10][11][12][13][14]. MLS and MLM, just optimal for consideration in the processing of experimental information with a combination of several factors of influence.…”

“…As in all types and varieties of chemical technology and electrical technology, the use of various modifications of the vapor-gas discharge between solid metal (or liquid non-metal) and liquid electrodes is associated with a large number of complex, timeconsuming experiments. It is for this reason that the involvement of the mathematical apparatus in describing the results of experiments is a useful tool in the research work in this area, and the mathematical methods we have chosen for comparison allow us to build probabilistic-statistical models that allow us to make predictions in complex studies [1][2][3][4][5][6][7][8][9][10][11][12][13][14].…”