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

X. Y. Li; B. Y. Wu

doi:10.1016/j.amc.2020.125276

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

X. Y. Li^*
, B. Y. Wu

^*Corresponding author for this work

School of Mathematics

Changshu Institute of Technology
University of South Florida

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

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.

Original language	English
Article number	125276
Journal	Applied Mathematics and Computation
Volume	380
DOIs	https://doi.org/10.1016/j.amc.2020.125276
State	Published - 1 Sep 2020

Keywords

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

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10.1016/j.amc.2020.125276

Cite this

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title = "A new kernel functions based approach for solving 1-D interface problems",

abstract = "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.",

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N2 - 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.

AB - 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.

KW - 1-D elliptic interface problems

KW - Reproducing kernel method

KW - impulsive differential equations

UR - https://www.scopus.com/pages/publications/85083305692

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DO - 10.1016/j.amc.2020.125276

M3 - 文章

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VL - 380

JO - Applied Mathematics and Computation

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ER -

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

Abstract

Keywords

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