## 留言板

 引用本文: 林鹏程, 郭雯. 自共轭常微分方程奇异摄动问题一致收敛的差分格式[J]. 应用数学和力学, 1989, 10(1): 33-41.
Lin Peng-cheng, Guo Wen. The Uniformly Convergent Difference Schemes for a Singular Perturbation Problem of a Self-Adjoint Ordinary Differential Equation[J]. Applied Mathematics and Mechanics, 1989, 10(1): 33-41.
 Citation: Lin Peng-cheng, Guo Wen. The Uniformly Convergent Difference Schemes for a Singular Perturbation Problem of a Self-Adjoint Ordinary Differential Equation[J]. Applied Mathematics and Mechanics, 1989, 10(1): 33-41.

## The Uniformly Convergent Difference Schemes for a Singular Perturbation Problem of a Self-Adjoint Ordinary Differential Equation

• 摘要: 本文对自共轭常微分方程奇异摄动问题,构造一族带拟合因子的差分格式,用不同于[1]的方法,通过对格式截断误差的分析,给出差分格式解一致收敛于微分方程解的充分条件;由此提出几个具体的差分格式,在较弱的条件下,给出较高的一致收敛阶,并将它们应用于例子,给出数值结果.
•  [1] Doolan,E.P,J.J.H.Miller and W.H.A.Schilders,Uniform Numerical Methods for Problemswith Initial and Boundary Layers,Dublin,Boole Press(1980). [2] 林鹏程、郭雯,《奇异摄动问题数值解法》,讲义. [3] Il'in,A.M.,Difference scheme for a differential equation with a small parameter affecting highest derivative.Math.Notes,6(1969),596-692. [4] Protter,M.A.and H.F.Weinberger,Maximum Principles in Differential Equations.Prentice Hall.Englewood.Cliffs.N.J.(1967). [5] Kellogg,R.B.and A.Tsan,Analysis of some difference approximations for a singular perturbation problem without turning points,Math.Comp.32(1978),1025-1039.

##### 计量
• 文章访问数:  1348
• HTML全文浏览量:  32
• PDF下载量:  419
• 被引次数: 0
##### 出版历程
• 收稿日期:  1987-06-03
• 刊出日期:  1989-01-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈