| Crank-Nicolson差分格式及其稳定性研究 |
| |
| 引用本文： | 李华,周维奎,邓培智.Crank-Nicolson差分格式及其稳定性研究[J].矿物岩石,1998(Z1). |
| |
| 作者姓名： | 李华 周维奎 邓培智 |
| |
| 作者单位： | 成都理工学院，核工业部西南物理研究院 |
| |
| 摘 要： | 本文以自己独特的方式，构造了一维和二维抛物型方程的Ｃｒａｎｋ－Ｎｉｃｏｌｓｏｎ差分格式。本文不仅详细地给出了离散误差的表达式，而且论证了它们的稳定性。该差分格式具有精度高，稳定性好，计算量和存储量都比较小的特点，是一个很理想，便于应用的差分格式。
|
| 关 键 词： | 抛物型方程 隐格式 离散误差 绝对稳定性 |
RESEARCH ON CRANK-NICOLSON DIFFERENCE SCHEME AND ITS STABILITY |
| |
| Li Hua,Zhou Weikui,Deng Peizhi.RESEARCH ON CRANK-NICOLSON DIFFERENCE SCHEME AND ITS STABILITY[J].Journal of Mineralogy and Petrology,1998(Z1). |
| |
| Authors: | Li Hua Zhou Weikui Deng Peizhi |
| |
| Institution: | Li Hua 1 Zhou Weikui 1 Deng Peizhi 2 |
| |
| Abstract: | In this artile,with its unique mode, it is constructed the Crank Nicolson difference scheme of one dimensional and two dimensional paradolic equation, and not only gives the expression of discretization error in detail, but also proves their stability.This difference scheme possesses high accuracy,good stability,smaller calculation and storage capacity.So the difference scheme is ideal and applicable. |
| |
| Keywords: | paradolic equation implicit form discretization error absolute stability |
| 本文献已被 CNKI 等数据库收录！ |
