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

Citation

K.Eshkuvatov, Zainidin and Zulkarnain, Fatimah Samihah and Nik Long, Nik Mohd Asri and Muminov, Zahriddin (2018) Homotopy perturbation method for the hypersingular integral equations of the first kind. Ain Shams Engineering Journal, 9 (4). 3359 - 3363. ISSN 2090-4479; ESSN: 2090-4495

Abstract

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.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1016/j.asej.2017.04.010
Publisher:	Elsevier
Keywords:	Homotopy perturbation method; Hypersingular integral; Numerical method; Convergence
Depositing User:	Mr. Sazali Mohamad
Date Deposited:	05 Dec 2019 03:34
Last Modified:	05 Dec 2019 03:34
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.asej.2017.04.010
URI:	http://psasir.upm.edu.my/id/eprint/74519
Statistic Details:	View Download Statistic

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