Search for: [Abstract = "The integral equation is solved numerically using the Galerkin approximation in terms of simple polynomial multiplied by an appropriate weight function whose form is dictated by the behaviour of the fluid velocity near the edge of the step. The reflection and transmission coefficients are obtained approximately and their numerical estimates are seen to satisfy the energy identity. These are also depicted graphically against thenon\-dimensional frequency parameter for various ice\-cover parameters in a number of figures. In the absence of ice\-cover, the results for the free surface are recovered."]