Reproducing Kernel Method for Singularly Perturbed One-Dimensional Initial-Boundary Value Problems with Exponential Initial Layers

被引：0
|
作者：
Fazhan Geng
Zhiqiang Tang
Yongfang Zhou
机构：
[1] Changshu Institute of Technology,Department of Mathematics
[2] Hebei University Technology,School of Sciences
来源：
Qualitative Theory of Dynamical Systems | 2018年 / 17卷
关键词：
Reproducing kernel method; Exponential initial layers; Initial-boundary value problems; 65L11; 65L03;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a meshless numerical method is proposed for singularly perturbed one-dimensional initial-boundary value problems with exponential initial layers. The method is a combination of the domain decomposition method and the reproducing kernel method. A fitted reproducing kernel is constructed for initial layer domain problem. Some numerical results confirming the expected behavior of the method are shown.
引用
收藏
页码：177 / 187
页数：10
相关论文
共 50 条
12345