具有非光滑边界层函数的线性变系数抛物型方程初边值问题的差分格式  

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[1] 张由余[1] 

机构地区：[1]南京大学数学系

出　　处：《应用数学和力学》1992年第4期279-286,共8页Applied Mathematics and Mechanics

摘　　要：本文利用非均匀网格和指数型拟合差分方法给出了具有非光滑边界层函数的线性抛物型方程关于小参数ε一致收敛的差分格式.文章还给出了误差估计和数值结果.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：抛物型方程 差分格式 一致收敛 

分 类 号：O241.82[理学—计算数学]