一类化学反应扩散方程组的数值解法和理论分析

摘要

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估计结果.%In this paper, finite element and finite difference methods are u sed totreat 3-D parobolic reaction-diffusion syst em arising from the study of u nderground water resou rce. The optimal convergence rates in l2 and L2 ar e obtained by