The features of surface wave propagation along a sharp plasma-vacuum boundary are investigated numerically for the case of plasmas that are non-uniform in the direction of wave propagation. On the basis of the full set of Maxwell's equations for cold plasmas with collisions, the distributions of the electromagnetic wave fields are calculated. The results obtained demonstrate enhancement of the intensities of the electric field components and absorption, without reflection, of surface wave energy in the vicinity of the quasistatic resonance region. This is in agreement with previous qualitative predictions.