Fast and Accurate Numerical Solution of Allen–Cahn Equation

Figure 10

(a–d) Time evolution of the dumbbell shape. The handle shrinks quickly and breaks occur because the curvature of the handle is larger than that of both spheres. (a) t = 0, (b) t = 0.0006, (c) t = 0.0013, (d) t = 0.0025.

(a)

(b)

(c)

(d)