Citation:
BOUGOFFA LAZHAR, Rach RC, MENNOUNI ABDELAZIZ. On the existence, uniqueness, and new analytic approximate solution of the modified error function in two‐phase Stefan problems. Mathematical Methods in the Applied Sciences [Internet]. 2021;44 :10948-10956.
Date Published:
2021Abstract:
This paper provides a new proof of the existence and uniqueness of the solution for a nonlinear boundary value problem
which describes the study of two-phase Stefan problems on the semi-infinite line [0, ∞). This result considerably extends the analysis of a recent work. A highly accurate analytic approximate solution of this problem is also provided via the Adomian decomposition method.