Mathematical Modelling of the Electric Fields at Electrophysic Devices

Abstract

In mathematical modelling the continuous functions are substituted by tabular ones
and the differential equations are approximated by finite differences. The need of similar
restriction for approximation accuracy in the whole process of finding a solution demands the
cell size refining in the place of high derivatives. In addition the different scaled important
details may need using the non-uniform meshes with strongly different size of cells. This
paper is devoted to solution of electrostatic tasks by means of original difference scheme at
adaptive meshes. The specific attention is pointed to the approximation accuracy behavior
at mesh transition from steady to non-uniform.