Logistic Heat Integral Methods for the One-Phase Stefan Problem

Table 2

𝐿² norm error comparison of Gaussian and logistic HBIM and RIM moving front estimates for (1.1) and (1.2) over domain 𝑡∈[0,1].

𝛿(𝑡) errors
𝛽	Gaussian HBIM	Gaussian RIM	LHBIM	LRIM
1	2.1082×10^−3	3.1648×10^−4	1.4426×10^−3	2.1460×10^−4
1.25	1.3280×10^−3	1.7065×10^−4	9.2234×10^−4	1.1768×10^−4
1.67	7.1373×10^−4	7.3970×10^−5	5.0393×10^−4	5.1957×10^−5
2.5	2.9065×10^−4	2.1833×10^−5	2.0892×10^−4	1.5642×10^−5
5	5.7986×10^−5	2.3876×10^−6	4.2524×10^−5	1.7483×10^−6
10	1.0938×10^−5	2.3685×10^−7	8.1094×10^−6	1.7547×10^−7