| 一维非线性对流占优扩散方程的变网格特征差分方法 |
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| 引用本文： | 王同科.一维非线性对流占优扩散方程的变网格特征差分方法[J].计算物理,2003,20(6):493-497. |
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| 作者姓名： | 王同科 |
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| 作者单位： | 天津师范大学数学科学学院, 天津 300074 |
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| 摘 要： | 针对一维非线性对流占优扩散方程,提出了一类变网格特征差分格式,该格式能够根据解的梯度变化及时对计算网格进行调整.与均匀网格格式相比,给出的变网格特征差分格式对于对流占优扩散问题有着更好的计算效果.
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| 关 键 词： | 一维非线性对流占优扩散方程 变网格特征差分格式 最大模误差估计 |
| 文章编号： | 1001-246X(2003)06-0493-05 |
| 收稿时间： | 2002-10-25 |
| 修稿时间： | 2002年10月25 |
Characteristic Difference Method with Moving Mesh for One-dimensional Nonlinear Convection-dominated Diffusion Equations |
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| WANG Tong-ke.Characteristic Difference Method with Moving Mesh for One-dimensional Nonlinear Convection-dominated Diffusion Equations[J].Chinese Journal of Computational Physics,2003,20(6):493-497. |
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| Authors: | WANG Tong-ke |
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| Institution: | Faculty of Mathematical Science, Tianjin Normal University, Tianjin 300074, China |
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| Abstract: | A class of characteristic difference method with moving mesh is presented for one-dimensional nonlinear convection-dominated diffusion equations.This method can adaptively adjust the computational mesh according to the gradient of the solutions.Compared with the uniform mesh method,the method in this paper has higher computational efficiency for convection-dominated diffusion equations. |
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| Keywords: | one-dimensional nonlinear convection-dominated diffusion equation characteristic difference scheme with moving mesh maximum norm error estimate |
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