| 五阶色散KdV方程的交替分段显-隐差分格式 |
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| 引用本文： | 左进明,张天德.五阶色散KdV方程的交替分段显-隐差分格式[J].山东大学学报(理学版),2010,45(10):116-121. |
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| 作者姓名： | 左进明 张天德 |
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| 作者单位： | 1. 山东理工大学理学院,山东,淄博,255049
2. 山东大学数学学院,山东,济南,250100 |
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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KdV方程给出了一组非对称的差分格式,用这些差分格式与显、隐差分格式组合,构造了一类具有本性并行的交替分段显-隐格式,证明了格式的线性绝对稳定性。数值试验表明,这种方法有很好的精度。
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| 关 键 词： | 五阶色散KdV方程 并行计算 交替分段显-隐差分格式 线性绝对稳定 |
| 收稿时间： | 2009-04-01 |
Alternating segment explicit-implicit scheme for the fifth-order dispersive KdV equation |
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| ZUO Jin-ming,ZHANG Tian-de.Alternating segment explicit-implicit scheme for the fifth-order dispersive KdV equation[J].Journal of Shandong University,2010,45(10):116-121. |
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| Authors: | ZUO Jin-ming ZHANG Tian-de |
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| Institution: | 1. School of Science, Shandong University of Technology, Zibo 255049, Shandong, China;
2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China |
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| Abstract: | A group of asymmetric difference schemes to approach the fifth-order dispersive KdV equation are given. Using the schemes and the full explicit difference scheme and the full implicit difference scheme, the alternating difference scheme for solving the fifth order dispersive KdV equation is constructed. The scheme is linear unconditionally stable by analysis of linearization procedure, and is used directly on the parallel computer. Numerical experiments show that the method has high accuracy.
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| Keywords: | the fifth-order dispersive KdV equation parallel computation alternating segment explicit implicit scheme linear unconditionally stable |
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