拟线性抛物型方程奇异摄动问题的数值解法

The Numerical Solution of a Singularly Perturbed Problem for Quasilinear Parabolic Differential Equation

本文讨论拟线性抛物型方程奇异摄动问题的差分解法,在非均匀网格上建立了线性三层差分格式,并证明了在离散的L_2范数意义下格式的一致收敛性,最后给出了一些数值例子.

We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differentia] equation. We construct a linear three-level finite difference scheme on a nonuniform grid. The uniform convergence in the sense of discrete L2 norm is proved and numerical examples are presented.