四阶常微分方程奇异摄动问题的四阶精度差分方法

刘传汉

四阶常微分方程奇异摄动问题的四阶精度差分方法

刘传汉

河海大学计算机及信息工程学院, 南京 210098

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出版历程
- 收稿日期: 1996-01-08
- 修回日期: 1997-03-21
- 刊出日期: 1997-10-15

Fourth-Order Accurate Difference Method for the Singular Perturbation Problem

Liu Chuanhan

College of Computer and Information Engineering, Hehai University, Nanjing 210098, P. R. China

摘要

摘要: 在本文中,我们利用特殊的非均匀网格上的Hermite差分格式来近似四阶常微分方程奇异摄动问题,并证明了其四阶精度的一致收敛性,且在文章的最后给出了其数值结果．
- 非均匀网格 /
- 网格生成函数 /
- Hermite差分格式 /
- 一致收敛性
Abstract: In this paper,the numerical solution of fourth-order ordinary differential equations is considered.To approximate the differential equation,the Hermitian scheme on a special nonequidistant mesh is used.The fourth order convergence uniform in the perturbation parameter is proved.The numerical result shows the pomtwise convergence,too.
- nonequidistant mesh /
- mesh generating function /
- Hermitian scheme /
- uniformly convergence

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参考文献(12)

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