Fast and Accurate Numerical Solution of Allen–Cahn Equation

Figure 6

Time evolution of a torus shape, and each time is described in the figures. The inner circle has larger curvature than the outer circle, so the inner circle shrinks faster than the outer circle. (a) t = 0, (b) t = 0.0188, (c) t = 0.0375, (d) t = 0.0575.

(a)

(b)

(c)

(d)