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.
出处
《应用数学和力学》
EI
CSCD
北大核心
1992年第4期279-286,共8页
Applied Mathematics and Mechanics
关键词
抛物型方程
差分格式
一致收敛
nonsmooth boundary layer, characteristic boundary, nonuniform mesh,exponentially fitted, uniformly convergent difference scheme,parabolic differential equation
