【摘要】 为了更好地研究地下水污染问题,在泰勒级数分析的基础上,对一维地下水污染的模型求解过程中有限差分法的截断误差进行了修正,得到了修正后的有限差分解,并对差分格式的稳定性进行了分析。结果表明,没有修正的截断误差是不能忽略的。本文的研究为河流水质污染的防治和预测提供了一种科学依据。更多还原

【Abstract】 In order to well understand the problem of groundwater pollution,truncation errors associated with finite-difference solution of one-dimensional groundwater pollution are corrected based on the Taylor analysis.Thus,a corrected finite difference solution is obtained.The criteria for the stability of finite-difference solutions are derived using a matrix method.Comparison with the analytical solution and uncorrected solution,uncorrected truncation errors can not be negligible This study provides a more reasonable approach to the prediction and prevention of river pollution.更多还原