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 nonconditional time stability and excellent numerical dispersion in the method.