A new kernel functions based approach for solving 1-D interface problems

被引：33

作者：

Li X.Y. ^{[1
,2
]}

Wu B.Y. ^{[3
]}

机构：

[1] School of Mathematics and Statistics, Changshu Institute of Technology, Suzhou, 215500, Jiangsu

[2] School of Mathematics and Statistics, University of South Florida, Tampa, 33620, FL

[3] School of Mathematical Sciences, Harbin Institute of Technology, Harbin, 150001, Heilongjiang

来源：

Applied Mathematics and Computation | 2020年 / 380卷

基金：

中国国家自然科学基金;

关键词：

1-D elliptic interface problems; impulsive differential equations; Reproducing kernel method;

D O I：

10.1016/j.amc.2020.125276

中图分类号：

学科分类号：

摘要：

In this work, a new numerical method is proposed for solving 1-D elliptic type interface problems. The methods is a combination of the multi-step reproducing kernel functions collocation techniques and the shooting method. Firstly the boundary value problems are converted to the initial value problem with interface conditions by the shooting method. Then multi-step reproducing kernel functions collocation techniques are proposed for solving the reduced linear initial value problems. Finally, some numerical example are presented to show the accuracy of this method. © 2020 Elsevier Inc.

引用

共 24 条

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