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

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dc.FundingDetailsUniversiti Putra Malaysia: GP-i/2014/9442300 Fakulti Pertanian, Universiti Putra Malaysia Universiti Sains Islam Malaysia: PPP/USG-0216/FST/30/15316
dc.FundingDetailsThis work was supported by Universiti Sains Islam Malaysia (USIM), Short Project code PPP/USG-0216/FST/30/15316 and University Putra Malaysia (UPM) under Geran Putra, 2014, Project code GP-i/2014/9442300 . Authors are grateful for sponsorship and financial support of the Research Management Center , USIM and UPM. Zainidin K. Eshkuvatov was born in 18 February 1966, Samarkand, Uzbekistan. He received B.SC. degree and MSc degree in mathematics from Tashkent State University in 1988, Tashkent, Uzbekistan. Ph.D. degree in Mathematics and Physics on computational mathematics field, from National University of Uzbekistan. Currently, He is the Associate Professor of Faculty of Science and Technology, Universiti Sains Islam Malaysia (USIM), Nilai, Negeri Sembilan, Malaysia. His research interests are approximation of singular integration problems, singular integral equations and integro-differential equations of linear and nonlinear type. Fatimah Samihah Zulkarnain was born on 16 December 1988 in Manchester, UK. She received B.Sc (Degree) in Applied Mathematics from Universiti Sains Malaysia, Penang, Malaysia. A year later, she gained M.Sc (Degree) in Science of Mathematics from the same university. She is furthering her studies at Universiti Putra Malaysia, Serdang, Selangor, Malaysia as a PhD students in Applied Mathematics. Her research studies area cover computational mathematics, numerical methods and integral equations. Nik Mohd Asri Nik Long was born in 16 March 1968 in Malaysia. He received B.Sc (Hons) in Mathematics from Universiti Putra Malaysia, Malaysia and MSc (Pure Mathematics) and PhD (Applied Mathematics) degrees from Leeds University and Manchester University, Uniited Kingdom, respectively. Currently, he is the Associate Professor of Mathematics Department, Faculty of Science, Universiti Putra Malaysia (UPM), Serdang, Selangor Malaysia. His research interests are approximation of singular and hypersingular integration problems, and fracture mechanics. Zahriddin Muminov , was born in 28 August 1976, Uzbekistan. He received B.SC. degree and MSc degree in mathematics from Samarkand State University, Samarkand, Uzbekistan. Ph.D. degree in Mathematics, from National University of Uzbekistan. Currently, he is the Senior Lecturer at the Malaysia - Japan International Institute of Technology (MJIIT), Universiti Teknologi Malaysia (UTM) Kuala Lumpur, Malaysia. His research interests are Mathematical Physics, Functional Analysis, Operator Theory, Spectral analysis of Energy operators, Hamiltonians, Schr�dinger operators, Integral Equations Problems.
dc.contributor.affiliationsFaculty of Science and Technology
dc.contributor.affiliationsUniversiti Sains Islam Malaysia (USIM)
dc.contributor.affiliationsUniversiti Putra Malaysia (UPM)
dc.contributor.affiliationsNilai University
dc.contributor.authorEshkuvatov Z.K.en_US
dc.contributor.authorZulkarnain F.S.en_US
dc.contributor.authorNik Long N.M.A.en_US
dc.contributor.authorMuminov Z.en_US
dc.date.accessioned2024-05-28T08:28:07Z
dc.date.available2024-05-28T08:28:07Z
dc.date.issued2018
dc.description.abstractSimple 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.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1016/j.asej.2017.04.010
dc.identifier.epage3363
dc.identifier.issn20904479
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85056601547
dc.identifier.spage3359
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85056601547&doi=10.1016%2fj.asej.2017.04.010&partnerID=40&md5=5b6927263e5a5ac5d5c9a91b0b37dcca
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/8838
dc.identifier.volume9
dc.languageEnglish
dc.language.isoen_USen_US
dc.publisherAin Shams Universityen_US
dc.relation.ispartofOpen Accessen_US
dc.relation.ispartofAin Shams Engineering Journal
dc.sourceScopus
dc.subjectConvergenceen_US
dc.subjectHomotopy perturbation methoden_US
dc.subjectHypersingular integralen_US
dc.subjectIntegral equationsen_US
dc.subjectConvergence of numerical methodsen_US
dc.subjectnumerical methoden_US
dc.titleHomotopy perturbation method for the hypersingular integral equations of the first kinden_US
dc.title.alternativeAin Shams Eng. J.en_US
dc.typeArticleen_US
dspace.entity.typePublication

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