Numerical investigation of non-stationary electrochemical shaping based on an analytical solution of the Hele-Shaw problem

Transient processes occurring in electrochemical machining that lead to stationary, self-similar or other modes, are considered. These modes can apply to a part of the surface during a process for a limited time. The problem is formulated as a Hele-Shaw problem. Special high-precision numerical-analytical methods are developed for its solution The singularities of the solution are removed by representing it by the sum of a known function that includes the singularities and an unknown function without singularities. The unknown functions are determined by splines and a Schwarz integral.