<p>The paper investigates the response of a strip plate resting on an elastic foundation and subjected to a moving force with constant velocity. The plate is assumed to be infinite in the direction of motion and of finite width in the transverse direction, which allows independent boundary conditions to be prescribed at the strip edges. By applying a Fourier transform in the longitudinal direction, the two-dimensional problem is reduced to a sequence of one-dimensional boundary-value problems across the strip width. Three numerical formulations are examined for the transverse discretization: a finite difference method, a finite element method with Hermite elements, and an isogeometric analysis based on B-spline functions. All formulations share the same spectral treatment in the direction of motion and differ only in the spatial discretization of the transverse coordinate. The physical response is reconstructed using the inverse fast Fourier transform. The formulation is first checked against an independent modal sine-series reference solution for a simply supported strip, and the convergence of the three transverse discretizations is examined. The subsequent comparison of FDM, FEM and IGA shows that the methods provide consistent displacement fields, while differences may arise for quantities involving higher-order derivatives. The influence of transverse boundary conditions on deflections and internal forces is also discussed. The proposed framework provides a flexible tool for the analysis of moving load problems in strip plates.</p>