摘要
根据有限差分法原理,将求解范围用等间距网格划分为一系列离散节点后,二维泊松方程可以转化为用一个矩阵方程表示的关于各未知节点的多元线性方程组。利用MATLAB提供的矩阵左除命令,即可得到各未知节点的函数近似值。该方法概念简单,使用方便,不需要花费较多精力编程即可以求解大型线性方程组。
Based on finite difference principles, after solution region is divided into a series of discrete nodes with an evenly spaced interval, the two-dimensional Poisson equation can be converted into multi-element linear equations about unknown nodes which can be expressed in a matrix equation. The approximation of each unknown nodal function can be obtained with matrix left division command in MATLAB. It is simple in concept, convenient in operation and can be used to solve large linear equations without more efforts in programming.
出处
《红外技术》
CSCD
北大核心
2010年第4期213-216,230,共5页
Infrared Technology
关键词
半导体
泊松方程
有限差分法
MATLAB
semiconductor, Poisson equation, finite difference method, MATLAB
