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International Scholarly Research Notices
/
2011
/
Article
/
Tab 5
/
Research Article
Logistic Heat Integral Methods for the One-Phase Stefan Problem
Table 5
Comparison of exact, ETRIM, LRIM, and Enthalpy methods moving front approximations for the one-phase Stefan problem with time-dependent boundary condition
𝑓
(
𝑡
)
=
e
x
p
(
𝑡
)
−
1
when
𝛽
=
1
over
𝑡
∈
[
0
,
1
]
.
𝛿
(
𝑡
)
𝑡
Exact
ETRIM
Enthalpy
LRIM
0.25
0.2500
0.2499
0.2505
0.2499
0.5
0.5000
0.4990
0.5006
0.4992
0.75
0.7500
0.7468
0.7507
0.7479
1
1.0000
0.9926
1.0007
0.9959
N
N
/
A
N
/
A
100
N
/
A
Δ
𝑡
N
/
A
N
/
A
0.001
N
/
A