THE SOLUTION OF ONE-PHASE STEFAN-LIKE PROBLEMS WITH A FORCING TERM BY MOVING TAYLOR SERIES

A. Elsaid (), M. Deiaa, W. S. Elbeshbeeshy and I. L. El-Kalla
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A. Elsaid: Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt
M. Deiaa: Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt
W. S. Elbeshbeeshy: Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt
I. L. El-Kalla: Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt

Matrix Science Mathematic (MSMK), 2022, vol. 6, issue 1, 13-20

Abstract: In this article, we construct an approximate series solution for the one-dimensional one-phase Stefan-like problems with a forcing term. An algorithm is proposed to represent the nonhomogeneous forcing term in a moving series form to incorporate it into the moving Taylor series method. Numerical examples are solved by the proposed algorithm and the results show that with a suitable number of terms in the utilized moving series, the approximate solution is in good agreement with the exact solution.

Keywords: Moving boundary problems; Series solution; Non-homogeneous Stefan-like problems; Moving Taylor series (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:6:y:2022:i:1:p:13-20

DOI: 10.26480/msmk.01.2022.13.20

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