厦门理工学院学报
廈門理工學院學報
하문리공학원학보
JOURNAL OF XIAMEN UNIVERSITY OF TECHNOLOGY
2012年
4期
50-54
,共5页
渗流方程%反问题%存在唯一性%稳定性
滲流方程%反問題%存在唯一性%穩定性
삼류방정%반문제%존재유일성%은정성
filtration equation%inverse problem%existence and uniqueness%stability
讨论渗流方程反演未知系数的反问题.利用正则化方法证明常系数反问题解的存在唯一性及其关于初始条件和附加条件的稳定性,并利用变分迭代法证明变系数反问题解的存在性.
討論滲流方程反縯未知繫數的反問題.利用正則化方法證明常繫數反問題解的存在唯一性及其關于初始條件和附加條件的穩定性,併利用變分迭代法證明變繫數反問題解的存在性.
토론삼류방정반연미지계수적반문제.이용정칙화방법증명상계수반문제해적존재유일성급기관우초시조건화부가조건적은정성,병이용변분질대법증명변계수반문제해적존재성.
The inverse problem of filtration equation with unknown coeffcient is discussed in this paper,regularization method applied to prove the existence,uniqueness and stability dependence on initial and additional conditions of the solution of Constant coefficient equation,and variational iteration method used to prove the existence of the solution of variable coefficient equation.
