半线性抛物型方程奇异摄动问题的数值解

The Numerical Solution of a Singularly Perturbed Problem for Semilinear Parabolic Differential Eqnation

本文讨论具有抛物边界层的半线性抛物型方程奇异摄动问题的数值解法,在非均匀网格上构造了两层非线性差分格式,证明了差分格式是一致收敛的,给出了一些数值例子.

Numerical solution of a singularly perturbed problem for the semilinear parabolic differential equation with parabolic boundary layers is discussed, A nonlinear two-level difference scheme is constructed on the special non-uniform grids. The uniform convergence of this scheme is proved and some numerical examples are given.