DIFFERENCE SCHEME FOR AN INITIAL-BOUNDARY VALUE PROBLEM FOR LINEAR COEFFICIENT-VARIED PARABOLIC DIFFERENTIAL EQUATION WITH A NONSMOOTH BOUNDARY LAYER FUNCTION  

作　　者：苏煜城 张由余 

机构地区：[1]Nanjing University, Nanjing

出　　处：《Applied Mathematics and Mechanics(English Edition)》1992年第4期297-304,共8页应用数学和力学（英文版）

摘　　要：In this paper, using nonuniform mesh and exponentially fitted difference method, a uniformly convergent difference scheme for an initial-boundary value problem of linear parabolic differential equation with the nonsmooth boundary layer function with respect to small parameter e is given, and error estimate and numerical result are also given.In this paper, using nonuniform mesh and exponentially fitted difference method, a uniformly convergent difference scheme for an initial-boundary value problem of linear parabolic differential equation with the nonsmooth boundary layer function with respect to small parameter e is given, and error estimate and numerical result are also given.

关 键 词：nonsmooth boundary layer characteristic boundary nonuniform mesh exponentially fitted uniformly convergent difference scheme parabolic differential equation 

分 类 号：O3，O1[理学—力学]