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

页码：177 / 187

页数：10

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