| 五阶色散方程的交替分组方法 |
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| 引用本文： | 付吉美,左进明,张天德.五阶色散方程的交替分组方法[J].山东大学学报(理学版),2010,45(6):46-49. |
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| 作者姓名： | 付吉美 左进明 张天德 |
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| 作者单位： | 1. 山东大学数学学院,山东济南,250100
2. 山东理工大学理学院,山东淄博,255049 |
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| 基金项目： | 山东省自然科学基金资助项目 |
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| 摘 要： | 对五阶色散方程给出了一组非对称的差分公式,用这些差分公式构造了一种适合于并行计算的交替分组方法,证明了格式的稳定性。数值试验表明,这种方法在空间方向具有接近二阶的精度。
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| 关 键 词： | 五阶色散方程 并行计算 交替分组方法 绝对稳定 |
| 收稿时间： | 2009-03-09 |
The alternating group method for fifth-order dispersive equation |
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| FU Ji-mei,ZUO Jin-ming,ZHANG Tian-de.The alternating group method for fifth-order dispersive equation[J].Journal of Shandong University,2010,45(6):46-49. |
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| Authors: | FU Ji-mei ZUO Jin-ming ZHANG Tian-de |
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| Institution: | 1. School of Mathematics, Shandong University, Jinan 250100, Shandong, China;
2. School of Science, Shandong University of Technology, Zibo 255049, Shandong, China |
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| Abstract: | A group of asymmetric difference schemes to approximate the fifth-order dispersive equation are given. Using the schemes, the alternating group method for solving the fifth-order dispersive equation is constructed. The scheme is unconditionally stable, and is directly used on the parallel computer. The numerical experiments show the method has near the second order ratio of convergence in space.
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| Keywords: | fifth-order dispersive equation parallel computation alternating group method unconditionally stable |
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