Plasma-β as a function of height for the CH model with β₀ = 0.004 at different values of x (see the labels in the plot). The same parameters as in Fig. 7 are used. The thin continuous lines correspond to the results based on the semi-analytical approach, and the thick dashed lines represent the purely numerical results calculated using the code PDE2D described in Sect. 4.3. The agreement between the semi-analytical and the numerical curves is quite significant.