Eddy-currents induced by MRI gradient coils due to rapid switching result in undesirable thermal effects, field distortions and acoustic-noise. Efficient numerical computations are needed to analyze eddy-currents for complex configurations. The skin-depth adds an extra computational burden for numerical eddy-current computations since meshing in the skin-depth direction may be needed to achieve reliable computations during harmonic analysis. Here, we use a single-layer stream-function method (SSM) applying resistance compensation and compare our results to a multi-layer integral method (MIM) approach. We show that SSM method achieves accurate comparable results relative to both MIM and Ansys albeit at higher computational effeciency.