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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 ( IF 2.1 ) Pub Date : 2021-05-06 , DOI: 10.1002/mma.7457
Lazhar Bougoffa 1 , Randolph C. Rach 2 , Abdelaziz Mennouni 3
Affiliation  

This paper provides a new proof of the existence and uniqueness of the solution for a nonlinear boundary value problem
( 1 + δ y ) y + 2 x ( 1 + γ y ) y = 0 , 0 < x < , y ( 0 ) = 0 , y ( ) = 1 ,
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.


中文翻译:

两相Stefan问题中修正误差函数的存在唯一性及解析近似解

本文为非线性边值问题解的存在唯一性提供了新的证明
( 1 + δ ) + 2 X ( 1 + γ ) = 0 , 0 < X < , ( 0 ) = 0 , ( ) = 1 ,
它描述了半无限线 [0, )上两相 Stefan 问题的研究 。这一结果大大扩展了对最近工作的分析。还通过 Adomian 分解方法提供了该问题的高精度解析近似解。
更新日期:2021-05-06
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