Fig 4. Numerical calculation of the steady-state.

(A) For the depicted initial condition the system approaches the equilibrium depicted in Fig 3(A). The corresponding evolution of R and r is depicted in (B) and (C) respectively. Calculations have been performed for different mesh sizes N and time steps △t: N = 25 and △t = 0.2 (22704 degrees of freedom), N = 50 and △t = 0.05 (90404 df), N = 100 and △t = 0.0125 (360804) and N = 200 and △t = 0.003125 (1441604 df).