Homotopy perturbation method for the hypersingular integral equations of the first kind

被引：4

作者：

Eshkuvatov, Zainidin K. ^{[1
]}

Zulkarnain, Fatimah Samihah ^{[2
]}

Long, Nik Mohd Asri Nik ^{[2
]}

Muminov, Zahriddin ^{[3
]}

机构：

[1] USIM, Fac Sci & Technol, Nilai, Negeri Sembilan, Malaysia

[2] Univ Putra Malaysia, Fac Sci, Dept Math, Serdang, Selangor, Malaysia

[3] Nilai Univ, Fac Sci & Technol, Nilai, Negeri Sembilan, Malaysia

来源：

AIN SHAMS ENGINEERING JOURNAL | 2018年 / 9卷 / 04期

关键词：

Homotopy perturbation method; Hypersingular integral; Numerical method; Convergence; APPROXIMATE SOLUTION; CONVERGENCE; SCATTERING;

D O I：

10.1016/j.asej.2017.04.010

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Simple and efficient convex homotopy perturbation method (HPM) is presented to obtain an approximate solution of hyper-singular integral equations of the first kind. Convergence and error estimate of HPM are obtained. Three numerical examples were provided to verify the effectiveness of the HPM. Comparisons with reproducing kernel method (Chen et al., 2011) for the same number of iteration is also presented. Numerical examples reveal that the convergence of HPM can still be achieved for some problems even if the condition of convergence of HPM is not satisfied. (C) 2017 Ain Shams University.

引用

页码：3359 / 3363

页数：5

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