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| 对流占优扩散方程的一种特征差分算法 | |
| 引用本文： | 秦新强,马逸尘. 对流占优扩散方程的一种特征差分算法[J]. 高等学校计算数学学报, 2004, 26(1): 30-37 |
| 作者姓名： | 秦新强 马逸尘 |
| 作者单位： | 西安交通大学理学院,西安,710049;西安理工大学理学院,西安,710048;西安交通大学理学院,西安,710049 |
| 基金项目： | 国家自然科学基金(10371096)，陕西省教育厅专项科研计划资助项目(02JK048) |
| 摘 要： | A new kind of characteristic-difference scheme for convection-diffusion equations is constructed by characteristic method and bilinear interpolation method. The convergence of the scheme is proved. The advantages of this scheme are to obtain the solutions of the convection diffusion equations with variable coefficient expediently and to reduce the numerical oscillations of the convectiondominanted diffusion equations effectively. |
| 关 键 词： | 对流占优扩散方程 特征差分算法 数值震荡 边值问题 局部截断误差 |
A NEW KIND OF CHARACTERISTIC-DIFFERENCE SCHEME FOR CONVECTION-DIFFUSION EQUATIONS |
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| Qin Xinqiang. A NEW KIND OF CHARACTERISTIC-DIFFERENCE SCHEME FOR CONVECTION-DIFFUSION EQUATIONS[J]. Numerical Mathematics A Journal of Chinese Universities, 2004, 26(1): 30-37 | |
| Authors: | Qin Xinqiang |
| Abstract: | A new kind of characteristic-difference scheme for convection-diffusion equations is constructed by characteristic method and bilinear interpolation method. The convergence of the scheme is proved. The advantages of this scheme are to obtain the solutions of the convection diffusion equations with variable coefficient expediently and to reduce the numerical oscillations of the convection-dominanted diffusion equations effectively. |
| Keywords: | convection-diffusion equations characteristic-difference scheme bi-linear interpolation convergence |
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