Труды Института механики им. Р.Р. Мавлютова
Электронный научный журнал | Electronic Scientific Journal
Proceedings of the Mavlyutov Institute of Mechanics
The problem on each time step is reduced to the solution of three boundary problems for definition of analytical functions of complex variable: conformal mapping of parametric variable region on the physical plane, Dirichlet's problem for determination of intensity of electric field and Riemann – Hilbert's problem for calculation of partial derivatives on time of coordinates of interelectrode space points. Approximation by spline functions is made, the algorithms of the solution of non-stationary problems differing from known by the accuracy and stability are described. Results of the numerical solution are represented.