Analysis of difference diagrams stability approximating a class of one- and two-dimensional non-linear–parabolic field equations

This paper describes the stability conditions for difference diagrams applied to the approximation of one- and two-dimensional non-linear field equations. The one-dimensional electromagnetic field is described by vector B and vector E , and the two-dimensional field by magnetic vector potential A . It has been proved that the presence of a lower order of derivatives has a decisive influence on the stability condition of the considered diagrams.