This paper reports the implementation of a 2D-wavelet-based Galerkin method in the space-time domain, for the modeling of a 1D-structure's electromagnetic response to a pulsed excitation. The choice for the most suitable wavelet basis was guided by the analysis of the mathematical and physical peculiarities of the problem. First results exhibit that wavelets seem to be a great candidate for the solution of partial differential equations in the case of non-periodic sources.