| 一类抛物型积微分方程块中心差分方法的误差估计 |
| |
| 引用本文： | 刘允欣.一类抛物型积微分方程块中心差分方法的误差估计[J].山东大学学报(理学版),1994(3). |
| |
| 作者姓名： | 刘允欣 |
| |
| 作者单位： | Dept.of Math.，Shandong Univ.，Jinan |
| |
| 摘 要： | 研究了在正方形区域上一类具有第二边值条件的抛物型积微分方程，得到了在非均匀网格上块中心差分格式关于近似解和一阶近似导数的二阶误差估计．
|
| 关 键 词： | 抛物型积微分方程 块中心网格 超收敛格式 混合有限元 |
ERROR ESTIMATES OF BLOCK-CENTERED FINITE DIFFERENCE METHODS FOR A CLASS OF PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS |
| |
| Liu Yunxin.ERROR ESTIMATES OF BLOCK-CENTERED FINITE DIFFERENCE METHODS FOR A CLASS OF PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS[J].Journal of Shandong University,1994(3). |
| |
| Authors: | Liu Yunxin |
| |
| Abstract: | It is considered that a class of parabolic integro-differential equations with Neumannboundary conditions in rectangular domains. With sufficiently smooth data,we show that thediscrete L2-norm errors for block centered finite differences in both the approximate solution and its first derivatives are second order in time and space for nonuniform grids. |
| |
| Keywords: | integro-differential equation of parabolic type block-centered grids supra convergent schemes mixed finite element method |
| 本文献已被 CNKI 等数据库收录！ |
