摘要
基于Kreiss[1]所建立的紧致差分逼近公式，提出一种数值求解二维泊极方程的高精度紧致差分方法．该方法是矩形网络下九结点差分近似，其推导过程简单，且具有四阶精度．最后给出了误差估计和数值结果．
Based on compact differencing of fourth-order accuracy made by Kreiss, H. O, asimple compact finite-difference (FD)method for solving two-dimonsional (2D) Poisson equation is developed in this paper. First, 2D equation is discretized by uti1izing the compact difference formula of the four order accuracy. Then,we obtain a compact nine-points difference scheme for rectangular cells. Finally,error estimate and numer1cal results are also given to illustreat the present method and its conregence.
出处
《商丘师范学院学报》
CAS
1998年第S4期25-28,共4页
Journal of Shangqiu Normal University
基金
宁夏自治区教育科研基金
关键词
泊松方程
紧致差分方法
差分格式
高精度
Poisson equation
compact difference method
difference scheme
high-order accuracy
