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化学反应中的自由边界问题的计算
引用本文:王莉君.化学反应中的自由边界问题的计算[J].上海交通大学学报,1993,27(4):87-96.
作者姓名:王莉君
作者单位:上海交通大学应用数学系
摘    要:本文利用MEYER的不变嵌入法,计算边界类似于Stefan问题的化学反应中自由边界问题,并进一步讨论它的收敛性,以及改进MEYER的不变嵌入法,使改进后的计算精度更好。

关 键 词:化学反应  双曲型方程  自由边界问题

The Calculation of the Free Boundary Problem in Chemical Reaction
Wang Lijun.The Calculation of the Free Boundary Problem in Chemical Reaction[J].Journal of Shanghai Jiaotong University,1993,27(4):87-96.
Authors:Wang Lijun
Abstract:This paper deals with the calculation of the free boundary problem in chemical reaction, the MEYER'S way of invariant embedding is used for the calculation. The problem with integral calculation assimilaties the Stefan problem on the boundary. Besides its convergence is discussed. Finally, the MEYER'S way of invariant embedding is improved, and thus the accuracy of the result of calculation is much better.
Keywords:Chemical reactions  hyperbotic equations  convergence (mathematics)  invariant embedding
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