一类奇异摄动抛物型反应扩散问题的数值解

Numerical Solution of a Class of Singularly Perturbed Parabolic Reaction-Diffusion Problem

奇异摄动问题一直需要高精度的数值方法,本文提出了重心拉格朗日插值配点法来求解一类奇异摄动抛物型反应扩散问题,与其他方法相比,数值实验表明该方法是解决这类问题的一种高精度方法。

The singularly perturbed problem’s high accuracy numerical method is always needed.In this paper,barycentric Lagrange interpolation collocation method(BLICM)is proposed for solving a class of singularly perturbed parabolic reaction-diffusion problem.Compared with other methods,the numerical experiment shows BLICM is a high precision method to solve this class of problems.