| 活动边界抛物型方程迎风差分格式 |
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| 引用本文： | 崔明荣.活动边界抛物型方程迎风差分格式[J].山东大学学报(理学版),1998(3). |
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| 作者姓名： | 崔明荣 |
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| 作者单位： | 山东大学数学与系统科学学院 |
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| 摘 要： | 对在一给定的依赖于时间的区域上的三维线性抛物型方程，给出显式和隐式迎风差分格式及修正的迎风格式，证明了差分格式在最大模意义下的稳定性和收敛性．
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| 关 键 词： | 活动边界 抛物型方程 迎风差分格式 稳定性和收敛性 |
UPWIND DIFFERENCE SCHEMES FOR PARABOLIC EQUATION IN A THREE DIMENSIONAL DOMAIN WITH MOVING BOUNDARY |
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| Cui Mingrong.UPWIND DIFFERENCE SCHEMES FOR PARABOLIC EQUATION IN A THREE DIMENSIONAL DOMAIN WITH MOVING BOUNDARY[J].Journal of Shandong University,1998(3). |
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| Authors: | Cui Mingrong |
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| Abstract: | Linear parabolic equation in a given time dependent three dimensional domain is considered.Both the explicit and the implicit upwind difference schemes with the modified upwind schemes based on the variable domain are given.The proposed schemes are stable and the error estimates is presented in the maximum norm. |
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| Keywords: | moving boundary parabolic equation upwind difference scheme stability and error estimates |
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