International Scholarly Research Notices

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 ETRIMEnthalpy 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