Two Simple Numerical Methods for the Free Boundary in One-Phase Stefan Problem

Table 3

Comparison of L2 norm and runtime in the solution.

Mesh size; (𝑁×𝑀)	(Runtime, L2 norm)
	VSG	BIM	LTUF	LTFF
1250×5	(0.045, 0.33100481)	(0.086, 0.31159113)	(0.030, 0.33101571)	(0.057, 0.31125825)
2500×10	(0.082, 0.08358954)	(0.091, 0.07818977)	(0.083, 0.08348142)	(0.098, 0.07799352)
5000×20	(0.203, 0.02155389)	(0.296, 0.02020339)	(0.227, 0.02154625)	(0.289, 0.02018861)
10000×40	(0.820, 0.00604438)	(1.005, 0.00577497)	(0.867, 0.00603415)	(1.037, 0.00576715)
20000×80	(3.640, 0.00155269)	(4.122, 0.00151694)	(3.700, 0.00154049)	(3.969, 0.00131512)