山东理工大学学报：自然科学版
山東理工大學學報：自然科學版
산동리공대학학보：자연과학판
Journal of Shandong University of Technology:Science and Technology
2012年
2期
1-4
,共4页
二维溶质运移%对流弥散方程%同伦正则化算法%弥散系数%参数反演
二維溶質運移%對流瀰散方程%同倫正則化算法%瀰散繫數%參數反縯
이유용질운이%대류미산방정%동륜정칙화산법%미산계수%삼수반연
two-dimensional solute transportation%advection dispersion equation%homotopy regularization algorithm%dispersion coefficient%parameter inversion
利用同伦正则化算法探讨了二维对流弥散方程的依赖空间变量的弥散系数反演问题.讨论了初始迭代值、数值微分步长、以及收敛精度对算法实现的影响.数值模拟表明,同伦正则化算法对于此类参数反演问题是一种有效的方法.
利用同倫正則化算法探討瞭二維對流瀰散方程的依賴空間變量的瀰散繫數反縯問題.討論瞭初始迭代值、數值微分步長、以及收斂精度對算法實現的影響.數值模擬錶明,同倫正則化算法對于此類參數反縯問題是一種有效的方法.
이용동륜정칙화산법탐토료이유대류미산방정적의뢰공간변량적미산계수반연문제.토론료초시질대치、수치미분보장、이급수렴정도대산법실현적영향.수치모의표명,동륜정칙화산법대우차류삼수반연문제시일충유효적방법.
This paper deals with an inverse problem for determining space-dependent dispersion coefficient in two-dimensional advection-dispersion equation by homotopy regularization algorithm.Several factors affecting the algorithm＇s realization are discussed which are initial iterations,numerical differential steps and convergence precision.Numerical simulations show that the homotopy regularization algorithm is efficient to the inverse problem discussed here.
