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

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Difference Scheme for an Initial-Boundary Value Problem for Linear Coefficient-Varied Parabolic Differential Equation with a Nonsmooth Boundary Layer Function

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.
- 非光滑边界层 /
- 特征边界 /
- 非均匀网格 /
- 指数型拟合 /
- 一致收敛的差分格式 /
- 抛物型方程
Abstract: 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 εis given, and error estimate and numerical result are also given.
- nonsmooth boundary layer /
- characteristic boundary /
- nonuniform mesh /
- exponentially fitted /
- uniformly convergent difference scheme /
- parabolic differential equation

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