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On the existence, uniqueness, and new analytic approximation of the modifieded error function in two-phase Stefan problems
  • Lazhar Bougoffa,
  • Randolph Rach,
  • Abdelaziz Mennouni
Lazhar Bougoffa
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Randolph Rach
Working Group on the ADM
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Abdelaziz Mennouni
department of mathematics university of Batna
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Abstract

The existence and uniqueness of the solution is proved for a nonlinear boundary value problem for ODE subject to an infinite condition \cite{1}, which describes the study of two-phase Stefan problems on the semi-infinite line [0,\infty). This result considerably extends the analysis of a recent work \cite{4}. A highly accurate analytic approximate solution of this problem is also provided via the Adomian decomposition method.

Peer review status:ACCEPTED

14 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
17 Jul 2020Submission Checks Completed
17 Jul 2020Assigned to Editor
20 Jul 2020Reviewer(s) Assigned
05 Nov 2020Review(s) Completed, Editorial Evaluation Pending
07 Nov 2020Editorial Decision: Revise Major
16 Nov 20201st Revision Received
16 Nov 2020Assigned to Editor
16 Nov 2020Submission Checks Completed
17 Nov 2020Reviewer(s) Assigned
08 Mar 2021Review(s) Completed, Editorial Evaluation Pending
08 Mar 2021Editorial Decision: Revise Major
11 Mar 20212nd Revision Received
11 Mar 2021Submission Checks Completed
11 Mar 2021Assigned to Editor
15 Mar 2021Reviewer(s) Assigned
30 Mar 2021Review(s) Completed, Editorial Evaluation Pending
31 Mar 2021Editorial Decision: Accept