In this paper a scheme to obtain an adaptive method in space for the resolution of Maxwell's equations is presented. Using interpolating wavelets it is possible to obtain an adaptive grid allowing an economy of the computational resources. Using the non staggered grid model the stability factor is improved when compared with the classic FDTD and its value is greater that one. This factor is more limited with the increase of the interpolating polynomial. On the other hand the dispersion proprieties are more restricted, when compared with a staggered grid model.626 SP Taflove, A., (1996) Computational Electrodynamcs: The Finite Difference Time-Domain Method, , Norwood, MAKrumpholtz, M., Katehi, L.B., MRTD: New time-domain schemes based on multiresolution analysis (1996) IEEE Transactions on Microwave Theory and Techniques, 44Holmstrom, M., Wavelet based methods for time dependent PDEs (1997), Ph.D. dissertation, Uppsala UniversityPinho, P., Resolução das equações de Maxwell por análise multiresolução usando wavelets interpolatórias (2004), Ph.D. Thesis Universidade de AveiroDelauriers, G., Dubuc, S., Symmetric iterative interpolation processes (1986) Contructive Approximation, 5P. Pinho, P. J. Ferreira, S. M. Gomes, and J. R. Pereira, Solving Maxwell's equations using interpolating wavelets, 5th Conference on Telecomunications, C. S. et al., Ed., 2005