Fast and Accurate Numerical Solution of Allen–Cahn Equation

Table 3

Runtime Result in 2D(sec).

	Initial value
	Circle	Dumbbell	Star	Torus	Maze	Random
	12001	15001	13001	23001	4001	12001
CPU:Python	680.09 (185.31)	1736.05 (251.6)	729.74 (128.47)	1326.82 (165.65)	60.15 (52.3)	674.63 (119.62)
CPU:Pytorch	14.73 (4.01)	30.67 (4.44)	17.60 (3.1)	37.85 (4.73)	2.98 (2.59)	17.79 (3.15)
GPU:Pytorch	3.67	6.90	5.68	8.01	1.15	5.64

The values in parentheses describe how many times the difference is based on GPU:Pytorch time for each test.