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地下水污染的灰色有限差分模型的修正解
引用本文:朱长军,郝振纯,刘德东,周继红.地下水污染的灰色有限差分模型的修正解[J].湖南科技大学学报(自然科学版),2006,21(2):87-89.
作者姓名:朱长军  郝振纯  刘德东  周继红
作者单位:1. 河北工程大学,城市建设学院,河北,邯郸,056038;河海大学,水资源环境学院,江苏,南京,210098
2. 河海大学,水资源环境学院,江苏,南京,210098
3. 河北工程大学,城市建设学院,河北,邯郸,056038
摘    要:在泰勒级数分析的基础上,对一维地下水污染的灰色模型求解过程中有限差分法的截断误差进行了修正,得到了修正后的灰色有限差分解.通过与解析解和没有修正的灰色解进行对比,表明没有修正的截断误差是不能忽略的.修正后的灰色数值解的灰带更窄而且更加合理.图1,参8.

关 键 词:地下水污染  截断误差  有限差分  修正  灰带
文章编号:1672-9102(2006)02-0087-03
收稿时间:2005-12-11
修稿时间:2005年12月11

Corrected Solution for Gray Finite-difference Model of Groundwater Pollution
ZHU Chang-jun,HAO Zhen-chun,LIU De-dong,ZHOU Ji-hong.Corrected Solution for Gray Finite-difference Model of Groundwater Pollution[J].Journal of Hunan University of Science & Technology(Natural Science Editon),2006,21(2):87-89.
Authors:ZHU Chang-jun  HAO Zhen-chun  LIU De-dong  ZHOU Ji-hong
Institution:1. College of Urban Construction, HeBei University of Engineering, Handan 056038, China;2. College of Water Resources and Environment, Hohai University, Nanjing 210098, China
Abstract:In order to study the groundwater pollution well, truncation errors associated with gray finite-difference solution of one-dimensional groundwater pollution were corrected based on the Taylor analysis. Thus a corrected gray finite difference solution was got. Comparison with the analytical solution and uncorrected solution, uncorrected truncation errors can not be negligible and the gray scope of corrected gray numerical solution becomes more little and reasonable. 1 fig., 8refs.
Keywords:groundwater pollution  truncation error  finite difference  correction  grey scope
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