一类化学反应扩散方程组的数值解法和理论分析

Numerical Methods and Analysis for Some Reaction Diffusion System

本文研究在地下水资源问题中的三维抛物型反应扩散方程组 ,提出了差分格式和有限元格式 ,应用微分方程先验估计理论得到最佳 l2 和 L2

In this paper, finite element and finite difference methods are used to treat 3-D parobolic reaction-diffusion system arising from the study of underground water resource. The optimal convergence rates in l2 and L2 are obtained by using the theory of priori error estimates for differential equations.