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

Table 2

Comparison of RMSE and runtime in the solution.

Mesh size; (𝑁×𝑀)	(Runtime, RMSE)
	VSG	BIM	LTUF	LTFF
1250×5	(0.045, 0.02346430)	(0.086, 0.02214381)	(0.030, 0.02340634)	(0.057, 0.02206451)
2500×10	(0.082, 0.00589595)	(0.091, 0.00552885)	(0.083, 0.00588832)	(0.098, 0.00551475)
5000×20	(0.203, 0.00152029)	(0.296, 0.00142859)	(0.227, 0.00151975)	(0.289, 0.00142755)
10000×40	(0.820, 0.00042633)	(1.005, 0.00040835)	(0.867, 0.00042561)	(1.037, 0.00040779)
20000×80	(3.640, 0.00010951)	(4.122, 0.00010726)	(3.700, 0.00010865)	(3.969, 0.00009299)