An efficient method for approximate solution of a singular integral equation with Cauchy kernel

Lihong Yang; Zhong Chen; Kechao Xie

doi:10.1016/j.cam.2018.11.020

An efficient method for approximate solution of a singular integral equation with Cauchy kernel

Lihong Yang^*
, Zhong Chen
, Kechao Xie

^*Corresponding author for this work

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

3 Scopus citations

Abstract

In this paper, the Least Squares method and the reproducing kernel space are employed to obtain approximate solution of a general form of singular integral equations with Cauchy kernel. This approach is based on the construction of the subspace which is dense in the reproducing kernel space. The numerical examples illustrate the high accuracy of the method.

Original language	English
Pages (from-to)	50-61
Number of pages	12
Journal	Journal of Computational and Applied Mathematics
Volume	352
DOIs	https://doi.org/10.1016/j.cam.2018.11.020
State	Published - 15 May 2019
Externally published	Yes

Keywords

Cauchy kernel
Least squares method
Singular integral equations
The reproducing kernel space

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10.1016/j.cam.2018.11.020

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title = "An efficient method for approximate solution of a singular integral equation with Cauchy kernel",

abstract = "In this paper, the Least Squares method and the reproducing kernel space are employed to obtain approximate solution of a general form of singular integral equations with Cauchy kernel. This approach is based on the construction of the subspace which is dense in the reproducing kernel space. The numerical examples illustrate the high accuracy of the method.",

keywords = "Cauchy kernel, Least squares method, Singular integral equations, The reproducing kernel space",

author = "Lihong Yang and Zhong Chen and Kechao Xie",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2019",

month = may,

day = "15",

doi = "10.1016/j.cam.2018.11.020",

language = "英语",

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T1 - An efficient method for approximate solution of a singular integral equation with Cauchy kernel

AU - Yang, Lihong

AU - Chen, Zhong

AU - Xie, Kechao

PY - 2019/5/15

Y1 - 2019/5/15

N2 - In this paper, the Least Squares method and the reproducing kernel space are employed to obtain approximate solution of a general form of singular integral equations with Cauchy kernel. This approach is based on the construction of the subspace which is dense in the reproducing kernel space. The numerical examples illustrate the high accuracy of the method.

AB - In this paper, the Least Squares method and the reproducing kernel space are employed to obtain approximate solution of a general form of singular integral equations with Cauchy kernel. This approach is based on the construction of the subspace which is dense in the reproducing kernel space. The numerical examples illustrate the high accuracy of the method.

KW - Cauchy kernel

KW - Least squares method

KW - Singular integral equations

KW - The reproducing kernel space

UR - https://www.scopus.com/pages/publications/85058413564

U2 - 10.1016/j.cam.2018.11.020

DO - 10.1016/j.cam.2018.11.020

M3 - 文章

AN - SCOPUS:85058413564

SN - 0377-0427

VL - 352

SP - 50

EP - 61

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

An efficient method for approximate solution of a singular integral equation with Cauchy kernel

Abstract

Keywords

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