Conservative difference scheme for conservative differential equation with periodic boundary

被引：13

作者：

Cai, Xin ^{[1
]}

机构：

[1] Department of Computer, Jimei University, Xiamen 361021, China

来源：

Applied Mathematics and Mechanics (English Edition) | 2001年 / 22卷 / 10期

关键词：

Conservative difference scheme - Singular perturbation - Uniform convergence;

D O I：

10.1023/A:1016305602480

中图分类号：

学科分类号：

摘要：

The conservative form and singular perturbed ordinary differential equation with periodic boundary value problem were studied, and a conservative difference scheme was constructed. Using the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, it is proved that the scheme converges uniformly to the solution of differential equation with order one.

引用

页码：1210 / 1215

页数：5

共 7 条

[1]

Xin Cai(2000)A singular perturbation problem for conservative differential equation with periodic boundary Journal of Jimei University (Natural Science) 5 22-25

[2]

Xin Cai(1992)Conservative difference scheme of conservative equation with a small parameter Journal of Huaqiao University (Natural Science) 13 170-176

[3]

Peng-cheng Lin(1987)A singular perturbation problem for periodic boundary differential equation Applied Mathematics and Mechanics (English Edition) 8 929-937

[4]

Peng-cheng Lin(1978)Analysis of some difference approximations for a singular perturbation problem without turning points Math Comp 32 1025-1039

[5]

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[6]

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[7]

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