双曲型偏微分方程奇异摄动问题边界层方法的渐近分析

Asymptotic Analysis of Boundary Layer Method for Singular Perturbation Problems in Hyperpolic Partial Differential Equations

本文考虑了带小参数的双曲型偏微分方程的初值问题和初边值混合问题，建立了它们的边界层格式解法，从而避免了寻找拟合因子和加密网格时所遇到的困难．文中利用数值例子作了说明。

Initial value problems and mixed initial-boundary value problems in hyperbolic partial differential equations with a small parameter are. considered.The boundary layer scheme is consttucted such that the difficulty in the methods for fitting factors or non-uniform schemes is avoided. Some numerical examples are also illustrated.