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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:UNDER REVIEW

14 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
17 Jul 2020Assigned to Editor
17 Jul 2020Submission Checks Completed
20 Jul 2020Reviewer(s) Assigned