Damping time, in units of the internal filament Alfvén crossing time, τ_Af = a/v_Af, as function of the three relevant parameters for kink oscillations in one-dimensional thread models: a) the magnetic Reynolds number, R_m = v_Afa/η; b) the density contrast, ρ_f/ρ_c; and c) the transverse inhomogeneity length-scale, l/a. Solid lines indicate the 1D solution, while symbols represent the numerical 2D solutions obtained with L_thread = L. In a) and c) the density contrast is ρ_f/ρ_c = 200. In b), l/a = 0.2. In b) and c) R_m = 10⁶. All computations have been performed in a two-dimensional grid with N_r = 401 and N_z = 51 points, with 250 grid-points in the radial transitional layer. Lengths are normalised to a = 1 and L = 50a.