| 带对流项的渗流型方程的隐格式 |
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| 引用本文： | 朱少红,袁光伟.带对流项的渗流型方程的隐格式[J].应用数学学报,1999,22(3):368-375. |
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| 作者姓名： | 朱少红 袁光伟 |
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| 作者单位： | [1]北京应用物理与计算数学研究所计算物理实验室 [2]天津师范大学数学系 |
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| 摘 要： | 本文用离散泛函分析方法证明了带对流项的渗流型方程的隐格式差分解的收敛性，同时得到微分方程弱解的存在性
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| 关 键 词： | TVD性质 收敛性 渗流方程 对流项 隐格式差分解 |
AN IMPLICIT DIFFERENCE SCHEME FOR THE EQUatION OF FILTRATION TYPE WITH CONVECTION |
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| ZHU SHAOHONG, YUAN GUANGWEI, SHEN LONGJUN.AN IMPLICIT DIFFERENCE SCHEME FOR THE EQUatION OF FILTRATION TYPE WITH CONVECTION[J].Acta Mathematicae Applicatae Sinica,1999,22(3):368-375. |
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| Authors: | ZHU SHAOHONG YUAN GUANGWEI SHEN LONGJUN |
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| Abstract: | In this paper, by the method of discrete functional analysis, the convergence of implicit difference solutions for the equation of filtration type with convection is proved, and the existence of weak solutions for such equations is also obtained. |
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| Keywords: | Maximum value principle TVD property priori estimates convergence |
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