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

作者：

Highlights：

• The multi-step reproducing kernel functions collocation techniques are proposed for second order IVPs.

• The combination of the multi-step reproducing kernel functions collocation techniques and the shooting method is used to solve 1-D elliptic type interface problems.

• The new approach has two significant advantages. The first one is that its computation cost is low compared with that of the existing method. The second one is that it is easy to implement and has higher accuracy.

摘要

•The multi-step reproducing kernel functions collocation techniques are proposed for second order IVPs.•The combination of the multi-step reproducing kernel functions collocation techniques and the shooting method is used to solve 1-D elliptic type interface problems.•The new approach has two significant advantages. The first one is that its computation cost is low compared with that of the existing method. The second one is that it is easy to implement and has higher accuracy.

论文关键词：Reproducing kernel method,impulsive differential equations,1-D elliptic interface problems

论文评审过程：Received 12 February 2020, Revised 30 March 2020, Accepted 5 April 2020, Available online 16 April 2020, Version of Record 16 April 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125276