三阶非线性KdV方程的交替分段显-隐差分格式

曲富丽; 王文洽

三阶非线性KdV方程的交替分段显-隐差分格式

山东大学数学与系统科学学院,济南 250100

基金项目: 国家自然科学基金资助项目(10671113);山东省自然科学基金资助项目(Y2003A04)

详细信息

作者简介:
曲富丽(1981- ),女,山东人,硕士(E-mail:qufuli23@163.com);王文洽(1950- ),教授,博士生导师(联系人.Fax:+86-531-88564652;E-mail:wwqia@math.sdu.edu.cn).

中图分类号: O241
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出版历程
- 收稿日期: 2006-02-14
- 修回日期: 2007-04-16
- 刊出日期: 2007-07-15

Alternating Segment Explicit-Implicit Scheme for Nonlinear Third-Order KdV Equation

School of Mathematics and System Sciences, Shandong University, Jinan 250100, P. R. China

摘要

摘要: 对三阶非线性KdV方程给出了一组非对称的差分公式，用这些差分公式与显、隐差分公式组合，构造了一类具有本性并行的交替分段显-隐格式A·D2证明了格式的线性绝对稳定性．对1个孤立波解、2个孤立波解的情况分别进行了数值试验．数值结果显示，交替分段显-隐格式稳定，有较高的精确度．
- Korteweg-de Vries方程 /
- 本性并行 /
- 交替分段显-隐差分格式 /
- 线性绝对稳定
Abstract: A group of asymmetric difference schemes to approach the Korteweg-de Vries (KdV) equation was given here. Using the schemes and the full explicit difference scheme and the full implicit difference scheme, the alternating difference scheme for solving the KdV equation was constructed. The scheme is linear unconditionally stable by analysis of linearization procedure, and is used directly on the parallel computer. The numerical experiments show that the method has high accuracy.
- KdV equation /
- intrinsic pallelism /
- alternating segment explicit-implicit difference scheme /
- linearunconditionally stable

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参考文献(14)

[1]	杨伯君,赵玉芳.高等数学物理方法[M].北京: 北京邮电大学出版社,2003.
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三阶非线性KdV方程的交替分段显-隐差分格式

作者简介:
曲富丽(1981- ),女,山东人,硕士(E-mail:qufuli23@163.com);王文洽(1950- ),教授,博士生导师(联系人.Fax:+86-531-88564652;E-mail:wwqia@math.sdu.edu.cn).

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Alternating Segment Explicit-Implicit Scheme for Nonlinear Third-Order KdV Equation

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三阶非线性KdV方程的交替分段显-隐差分格式

作者简介: 曲富丽(1981- ),女,山东人,硕士(E-mail:qufuli23@163.com);王文洽(1950- ),教授,博士生导师(联系人.Fax:+86-531-88564652;E-mail:wwqia@math.sdu.edu.cn).

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出版历程

Alternating Segment Explicit-Implicit Scheme for Nonlinear Third-Order KdV Equation

计量

出版历程

目录

作者简介:
曲富丽(1981- ),女,山东人,硕士(E-mail:qufuli23@163.com);王文洽(1950- ),教授,博士生导师(联系人.Fax:+86-531-88564652;E-mail:wwqia@math.sdu.edu.cn).