| 一类对流扩散方程组的差分格式与稳定性 |
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| 引用本文： | 管秋琴. 一类对流扩散方程组的差分格式与稳定性[J]. 上海电力学院学报, 2009, 25(2): 192-195 |
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| 作者姓名： | 管秋琴 |
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| 作者单位： | 上海电力学院,数理系,上海,200090 |
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| 基金项目： | 上海高校选拔培养优秀青年教师科研专项基金 |
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| 摘 要： | 提出了数值求解一类对流扩散方程组的一种两层隐式差分格式．采用von Neumann方法证明了格式是无条件稳定的，并且在每一时间层上只用到“和”的3个网格点．因此，只要计算分块3对角线性方程组即可．数值实验结果验证了该方法的精确性和可靠性．
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| 关 键 词： | 对流扩散方程组 差分格式 无条件稳定 |
| 收稿时间： | 2008-10-20 |
Difference Scheme and Stability for Some Convection-Diffusion Equations |
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| GUAN Qiu-qin. Difference Scheme and Stability for Some Convection-Diffusion Equations[J]. Journal of Shanghai University of Electric Power, 2009, 25(2): 192-195 |
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| Authors: | GUAN Qiu-qin |
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| Affiliation: | Dept.of Mathematics & Physics;Shanghai University of Electric Power;Shanghai 200090;China |
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| Abstract: | A two-level implicit difference scheme is proposed to solve some convection-diffusion equations.The truncation of the scheme is O(k2+h2).It is proved to be unconditionally stable by von Neumann method.Since only three points of u and v are used at each time level,the block tridiagonal linear systems are solved.Numerical results validate the efficiency and dependability. |
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| Keywords: | convection-diffusion equations difference scheme unconditional stability |
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