| 求解二维扩散方程的一类并行差分显式方法 |
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| 引用本文： | 冯青华.求解二维扩散方程的一类并行差分显式方法[J].山东理工大学学报,2007,21(3):15-19. |
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| 作者姓名： | 冯青华 |
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| 作者单位： | 山东理工大学数学与信息科学学院 山东淄博255049 |
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| 摘 要： | 利用第二类Saul'yev型非对称格式给出了二维扩散方程的一类交替分组显式方法,稳定性分析表明该方法是绝对稳定的,且具有明显的并行本性,数值试验表明,该方法具有较高的精度.
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| 关 键 词： | 交替分组方法 并行计算 显式方法 |
| 文章编号： | 1672-6197（2007）05-0015-05 |
| 修稿时间： | 2006-07-08 |
An explicit parallel difference method for solving two dimensional diffusion equation |
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| FENG Qing-hua.An explicit parallel difference method for solving two dimensional diffusion equation[J].Journal of Shandong University of Technology:Science and Technology,2007,21(3):15-19. |
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| Authors: | FENG Qing-hua |
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| Institution: | School of Mathematics and Information Science, Shandong University of Technology, Zibo 255049, China |
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| Abstract: | Two dimensional diffusion equation is an important differential equation,and the research on the parallel numerical methods for solving the equation is also important.A class alternating group explicit method is given using the second Saul'yev asymmetric schemes for solving two dimensional diffusion equation in the paper.Stability analysis shows that the method is unconditionally stable.Numerical results show that the method is not only suitable for parallel computing,but also can approach the exact solution better. |
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| Keywords: | alternating group method parallel computing explicit scheme |
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