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| 反应-对流-扩散方程的差分方法 | |
| 引用本文： | 王新艳,王新伟,张勇,田晓正. 反应-对流-扩散方程的差分方法[J]. 河南工业大学学报(社会科学版), 2001, 17(3): 18-23 |
| 作者姓名： | 王新艳 王新伟 张勇 田晓正 |
| 作者单位： | 郑州工业高等专科学校基础部,郑州,450007 |
| 摘 要： | 本文研究了反应-对流-扩散方程的一种差分格式及其迭代解法在等距网格情况下的局部截断误差、稳定性条件及非线性方程组的适定性,基于拟线性化的思想,建立了一个迭代解法并证明了其收敛性. |
| 关 键 词： | 差分 等距网格 截断误差 稳定 收敛 |
| 修稿时间： | 2001-05-17 |
Different Methods of Reaction- Convection-Diffusion Equation |
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| WANG Xinyan,Wang Xinwei,Zhang Yong,Tian Xiaozheng. Different Methods of Reaction- Convection-Diffusion Equation[J]. Journal of Henan University of Technology(Social Science Edition), 2001, 17(3): 18-23 | |
| Authors: | WANG Xinyan Wang Xinwei Zhang Yong Tian Xiaozheng |
| Affiliation: | Wang Xinyan Wang Xinwei Zhang Yong Tian Xiaozheng |
| Abstract: | In this paper, a kind of scheme of one-dimension reaction-convection-diffusion equation is dis-cussed. The local truncation error, the condition of stability and the uniqueness of solution of nonlinear equationgroup for equivalent step size are determined respectively. On the ground of quasilinearization, a iterative method isestablished, and its convergence is proved. |
| Keywords: | difference equivalent step size truncation error stability convergence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |