摘要
得到了激光等离子能量交换模型研究中的一类反应——扩散方程组的总体解的存在性 .并通过引进光滑符号函数对解析解的性态进行了估计 。
This paper is concerned with the numerical method for systems of reaction diffusion equations.the simulation of the energy transfer of laser produced plasma and physiological phenomenon will be reduced to this kind of problems. It is difficult to solve numerically,because of the physical process exchange quickly near the boundary.In order to be sure of the precision of the numerical soultion,we choose meshes｛h i｝ such that there are several mesh points and Greens function the difference scheme is established.We proved if the feasoble equidistant degree α2,the scheme convergent in L 1 norm with speed O(h+△t)uniformly.
出处
《数学理论与应用》
2000年第2期18-22,共5页
Mathematical Theory and Applications
关键词
总体解
反应扩散方程组
性态估计
存在性
difference scheme,mesh equidistant degree.Discrete Green function methods.
