| 具耗散项二阶双曲型方程分组显式方法 |
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| 引用本文： | 曾文平. 具耗散项二阶双曲型方程分组显式方法[J]. 华侨大学学报(自然科学版), 2001, 22(3): 237-241 |
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| 作者姓名： | 曾文平 |
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| 作者单位： | 华侨大学经济管理学院, |
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| 摘 要： | 首先把具耗散项的二阶双曲型方程分解为两个一阶方程,然后利用不对称公式提出解此类二阶双曲型方程的分组显式方法,进而,证明交替分组显式方法是无条件稳定的,数值试验表明,这些新方法是令人满意的。
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| 关 键 词： | 二阶双曲型方程 耗散项 分组显式方法 稳定性 |
| 文章编号： | 1000-5013(2001)03-0237-05 |
| 修稿时间： | 2000-12-06 |
Grouping Explicit Method for Solving Second-Order Hyperbolic Equation with Term of Dissipation |
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| Zeng Wenping. Grouping Explicit Method for Solving Second-Order Hyperbolic Equation with Term of Dissipation[J]. Journal of Huaqiao University(Natural Science), 2001, 22(3): 237-241 |
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| Authors: | Zeng Wenping |
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| Abstract: | A second order hyperbolic equation with term of dissipation is decomposed into two first order equations as the first step. For solving this kind of second order hyperbolic equations, the grouping explicit method is presented by applying asymmetric formula. And then, the alternatively grouping explicit method is proved to be unconditionally stable. As shown by numerical experiment, these new methods are satisfactory. |
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| Keywords: | second order hyperbolic equation term of dissipation grouping explicit method stability |
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