| 含源扩散方程的一类高阶紧致差分格式 |
| |
| 引用本文： | 田振夫 魏淑清. 含源扩散方程的一类高阶紧致差分格式[J]. 宁夏大学学报(自然科学版), 1997, 18(3): 197-202 |
| |
| 作者姓名： | 田振夫 魏淑清 |
| |
| 作者单位： | 宁夏大学应用数学研究所(田振夫)，宁夏财经学校数学教研室(魏淑清) |
| |
| 摘 要： | 提出了一种求解含源扩散方程的高精度隐式紧致差分方法．该方法所得差分格式具有普遍性，源项易以不同离散形式获得，且均无条件稳定，其精度均能达到Ｏ（ｋ２＋ｋｈ２＋ｈ４）或Ｏ（ｋ２＋ｈ４），其中ｋ，ｈ分别为时间和空间方向的网格长度．最后通过数值算例对此方法进行了检验．
|
| 关 键 词： | 扩散方程；高精度；紧致差分方法；隐格式；对流扩散方程；非定常 |
A CLASS OF HIGH ORDER COMPACT DIFFERENCE SCHEME FOR DIFFUSION EQUATION WITH SOURCE TERM |
| |
| Tian Zhenfu ) Wei Shuqing ) )Institute of Applied Mathematics,Ningxia University,,Yinchuan,China, )Section of Mathematics,Ningxia Financial and Economic School,,Yinchuan,China. A CLASS OF HIGH ORDER COMPACT DIFFERENCE SCHEME FOR DIFFUSION EQUATION WITH SOURCE TERM[J]. Journal of Ningxia University(Natural Science Edition), 1997, 18(3): 197-202 |
| |
| Authors: | Tian Zhenfu ) Wei Shuqing ) )Institute of Applied Mathematics Ningxia University Yinchuan China )Section of Mathematics Ningxia Financial Economic School Yinchuan China |
| |
| Affiliation: | Tian Zhenfu 1) Wei Shuqing 2) 1)Institute of Applied Mathematics,Ningxia University,750021,Yinchuan,China, 2)Section of Mathematics,Ningxia Financial and Economic School,750021,Yinchuan,China |
| |
| Abstract: | A new two level compact implicit finite difference method of O(k 2 kh 2 h 4) or O(k 2 h 4) using three spatical grid points for solving the one dimension diffusion inhomogoneous equation is developed by including derivative in the discretization of the equation, where k and h are temporal and spatial step sizes respectively. The method is unconditionally stable and the source term can be easily given in various discretization forms. The accuracy of the resulting methods verified by numerical testing. |
| |
| Keywords: | diffusion equation high order accuracy compact difference method implicit scheme convection diffusion equation unsteady |
| 本文献已被 CNKI 维普 等数据库收录！ |
