| 解二维扩散方程的Du Fort-Frankel差分格式 |
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| 引用本文： | 胥泽银,何永富,周维奎. 解二维扩散方程的Du Fort-Frankel差分格式[J]. 成都理工大学学报(自然科学版), 2000, 27(1): 77-81 |
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| 作者姓名： | 胥泽银 何永富 周维奎 |
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| 作者单位： | 成都理工学院应用数学系!成都610059(胥泽银，何永富，周维奎，李华，何永斌)，核工业西南物理研究所(邓培智) |
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| 基金项目： | 国土资源部高校青年教师资助计划项目 |
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| 摘 要： | DuFort-Frankel差分格式是对Richardson格式进行修正得到的差分格式。本文将它从一维推广到二维,给出了二维DuFort-Frankel差分格式相容性所满足的条件,并严格论证了它的绝对稳定性
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| 关 键 词： | 扩散方程 条件相容性 Schur定理 酉矩阵 绝对稳定性 |
| 文章编号： | 1005-9539(2000)01-0077-05 |
| 修稿时间： | 1999-08-30 |
Du Fort Frankel DIFFERENCE SCHEME FOR SOLVING THE TWO DIMENSIONAL DIFFUSION EQUATION |
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| XU Ze-yin,HE Yong-fu,ZHOU Wei-kui,LI Hua,HE Yong-binDENG Pei-zhi. Du Fort Frankel DIFFERENCE SCHEME FOR SOLVING THE TWO DIMENSIONAL DIFFUSION EQUATION[J]. Journal of Chengdu University of Technology: Sci & Technol Ed, 2000, 27(1): 77-81 |
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| Authors: | XU Ze-yin HE Yong-fu ZHOU Wei-kui LI Hua HE Yong-binDENG Pei-zhi |
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| Affiliation: | XU Ze-yin,HE Yong-fu,ZHOU Wei-kui,LI Hua,HE Yong-bin(Chengdu University of Technology, China)DENG Pei-zhi(Southwest Insititute of Physics) |
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| Abstract: | The Du Fort-Frankel difference scheme is modified by the Richardson difference scheme. This paper generalizes the two-dimensional difference scheme from the one-dimensional difference scheme. It not only gives the consistency condition of the two-dimensional Du Fort-Frankel difference scheme, but also proves the absolute stability of the difference scheme. |
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| Keywords: | diffusion equation conditional consistency Schur theorem unitary matrix absolute stability |
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