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动边界对流扩散问题的特征有限差分法
引用本文:崔明荣.动边界对流扩散问题的特征有限差分法[J].山东大学学报(理学版),1995(3).
作者姓名:崔明荣
作者单位:Dept. of Math.,Shandong Univ.,Jinan
摘    要:对于一给定的依赖于时间的区域上对流扩散方程的初边值问题,给出基于线性插值和基于二次播值的两种特征差分格式及相应的误差估计.

关 键 词:活动边界  对流扩散方程  特征差分格式

THE CHARACTERISTIC FINITE DIFFERENCE SCHEMES FOR CONVECTION-DIFFUSION PROBLEMS ON A MOVING REGION
Cul Mingrong.THE CHARACTERISTIC FINITE DIFFERENCE SCHEMES FOR CONVECTION-DIFFUSION PROBLEMS ON A MOVING REGION[J].Journal of Shandong University,1995(3).
Authors:Cul Mingrong
Abstract:Convection-diffusion problems in a given time-dependent domain with initial and boundary values are considered. The characteristic difference schemes which are based on piecewise-linear interPOlation or local quadratic interPOlation are given with corresponding optimal error estimates.
Keywords:moving boundary  convection-diffusion equation  characteristic finite difference schemes
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