| Burgers方程的交替混合差分格式 |
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| 引用本文： | 朱宏,HUANG Wei-xiang. Burgers方程的交替混合差分格式[J]. 内蒙古民族大学学报(自然科学版), 2008, 23(4): 366-369 |
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| 作者姓名： | 朱宏 HUANG Wei-xiang |
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| 作者单位： | 广东食品药品职业学院,广东,广州,510520 |
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| 摘 要： | 为研究Burgers发展方程适合于并行机上运行的高效率的计算方法,提出了Burgers方程的一种差分格式以及并行数值计算方法,得到了方法关于A1/2-稳定性以及并行兼顾的结果,数值例子表明了方法具有良好的使用性、有效性．
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| 关 键 词： | Burgers方程 Hopf-Cole变换 A1/2-稳定性 并行性 |
The Block Implied Method and Numerical Parallel Method for Burgers Equation |
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| ZHU Hong,HUANG Wei-xiang. The Block Implied Method and Numerical Parallel Method for Burgers Equation[J]. Journal of Inner Mongolia University for the Nationalities(Natural Sciences), 2008, 23(4): 366-369 |
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| Authors: | ZHU Hong HUANG Wei-xiang |
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| Affiliation: | ZHU Hong,HUANG Wei-xiang(1.Department of GuangDong Food and Drug Vocational, Guangzhou 510520, China; 2.Department of Mathematics, Guangdong Technical College of Water Resources and Electric Engineering, Guangzhou 510635,China) |
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| Abstract: | In this paper, an alternating method of difference equation for solving the Burgers equation is presented. A solution of stability and parallelism of the method is obtained. It is shown that the method is unconditional stability, and has the obvious property of parallelism. The result of numerical experiments shows that the method can be used directly on parallel computers. |
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| Keywords: | Burgers equation Hopfcole transformation A1/2-stabilization Parallelism |
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