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

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Homotopy perturbation method for the hypersingular integral equations of the first kind.pdf (505.37 KB)

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2018

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Ain Shams University

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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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Convergence, Homotopy perturbation method, Hypersingular integral, Integral equations, Convergence of numerical methods, numerical method

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https://www.scopus.com/inward/record.uri?eid=2-s2.0-85056601547&doi=10.1016%2fj.asej.2017.04.010&partnerID=40&md5=5b6927263e5a5ac5d5c9a91b0b37dcca
 https://oarep.usim.edu.my/handle/123456789/8838

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