用移动泰勒级数求解带强迫项的一类单相stefan问题

Matrix Science Mathematic Pub Date : 2022-01-01 DOI:10.26480/msmk.01.2022.13.20

M. Deiaa, W. S. Elbeshbeeshy, I. El-Kalla, A. Elsaid

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引用次数: 0

摘要

本文构造了带强迫项的一维一相类stefan问题的近似级数解。提出了一种将非齐次强迫项表示为运动级数形式的算法，并将其纳入到运动泰勒级数方法中。用该算法对数值算例进行了求解，结果表明，当所利用的运动级数中适当的项数时，近似解与精确解能很好地吻合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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Matrix Science Mathematic

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审稿时长

12 weeks