作 者: ;
机构地区: 中华女子学院
出 处: 《科技信息》 2009年第9期110-111,共2页
摘 要: 本文讨论的是一个对流扩散方程的简单形式。首先利用三种差分格式逼近一阶偏微分,然后建立相应的线性方程组,由此通过追赶法接触微分方程的离散解。通过对三种格式求得的结果与解析解之间误差的比较,发现只有一种格式能较好的逼近微分方程的解析解,文章最后分析了这种格式比较好的原因。 This article studies a simple convection diffusion equation Firstly it discusses three difference formulations to approach the 1st-order PDE. Then it forms the corresponding linear equation groups. Finally it finds the discrete solution of the diffusion equation through chase method. By comparing the errors between the discrete solutions and the analytical solution for each method, this article analyses and concludes that one of the difference formulations is much more superior than the other two.