In the work the implementation of algorithm is offered for Maxwell`s equations' numerical modeling with Finite-difference time-domain method in the bounded area with different types of boundary conditions includind Perfectly Matched Layer (PML). For method of cell rounding (sequence of calculations) the Local-recursive nonlocal-anisochronous algorithm (LRnLA) is used, which makes possible to reach the high rate of program`s effectiveness and full parallelization. It is developed the methods for modeling of the following media: the simple undispersion materials, the media with dispersion described by Drude model. Conductors and the Negative Index Media (NIM, same as LHM) are under this model too.

Maxwell equations, Finite-difference time-domain method, Local-recursive nonlocal-anisochronous algorithm, Perfectly matched layer, effective algorithms, Drude model, metamaterials, photonic crystals, Left-handed materials, Negative Index Media

Mathematical modelling in actual problems of science and technics