| 抛物型方程的O(h4)精度新交替分段显隐格式 |
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| 引用本文： | 张守慧,王文洽. 抛物型方程的O(h4)精度新交替分段显隐格式[J]. 山东大学学报(理学版), 2007, 42(12): 120-126 |
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| 作者姓名： | 张守慧 王文洽 |
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| 作者单位： | 山东大学,数学与系统科学学院,山东,济南,250100;济南大学,理学院,山东,济南,250022;山东大学,数学与系统科学学院,山东,济南,250100 |
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| 摘 要： | 给出了对流扩散方程的一种高精度新的交替分段显隐格式。它可以用于并行计算,且无条件稳定，空间的精确度可以达到O(h4)阶,最后的数值实验也证实了这一点。
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| 关 键 词： | 交替分段格式 对流扩散问题 并行算法 |
| 文章编号： | 1671-9352（2007）12-0120-07 |
| 收稿时间： | 2007-11-09 |
| 修稿时间： | 2007-11-09 |
An O(h4) accurate new alternating segment explicit-implicit schemes for a parabolic problem |
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| ZHANG Shou-hui,WANG Wen-qia. An O(h4) accurate new alternating segment explicit-implicit schemes for a parabolic problem[J]. Journal of Shandong University, 2007, 42(12): 120-126 |
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| Authors: | ZHANG Shou-hui WANG Wen-qia |
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| Affiliation: | 1. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China;2. School of Science, Jinan University, Jinan 250022, Shandong, China |
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| Abstract: | A high accurate new alternating segment explicit-implicit(nASE-I) scheme for a parabolic problem was given. This scheme can be used in parallel computation, which was proved to be unconditionally stable. The spatial accuracy rate is O(h4), which was proved to be highly accurate by numerical experiments. |
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| Keywords: | small alternating segment scheme convection diffusion problem parallel algorithm |
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