| 解抛物型方程的半离散精细积分法 |
| |
| 引用本文： | 李天然.解抛物型方程的半离散精细积分法[J].数学理论与应用,2004,24(2):38-42. |
| |
| 作者姓名： | 李天然 |
| |
| 作者单位： | 湖南城市学院数学与计算科学系，益阳，413000 |
| |
| 摘 要： | 本讨论抛物型方程混合问题的解法．提出在有限元半离散过程后，用精细积分法获得一个较好的解，并且分析了这种方法的误差，证明了用这种方法和二次插值，在节点上有O(h^4)的超收敛性．
|
| 关 键 词： | 抛物型方程 偏微分方程 空间变量 时间变量 半离散 有限元 精细积分法 |
Semi-discrete Meticulous Integration Methods Solving Parabolic Equations |
| |
| Li Tianran.Semi-discrete Meticulous Integration Methods Solving Parabolic Equations[J].Mathematical Theory and Applications,2004,24(2):38-42. |
| |
| Authors: | Li Tianran |
| |
| Abstract: | This discusses about the solution means of mixed problem of parabolic equation.In the course of calculating semi-discrete finite element,I gain better solutions by using meticulous integration methods,and analysing their errors and successfully proving that there is the O(h 4)superconvergence in the node by means of this way and quadratic interpolation. |
| |
| Keywords: | parabolic equation semi-discrete finite element meticulous integration methods |
| 本文献已被 CNKI 维普 等数据库收录！ |
