Analysis of alternating direction implicit multiresolution time-domain method using Daubechies’ scaling function

The Maxwell´s equations were extended by the compactly supported wavelets´ transformation in this paper.The renewed formats of them are more succinct than conventional MRTD´s equations.The numerical experiment shows that adopting the method can approach the limitation of the Nyquist´s sampling theorem. The alternating direction implicit technique that is based on the compactly wavelets was used in the method.Based on the formula,compared with the conventional FDTD and ADI-FDTD.The results show that there are non-conditional time stability and excellent numerical dispersion in the method.