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Semi bounded solution of hypersingular integral equations of the first kind on the rectangle

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dc.contributor.affiliationsFaculty of Science and Technology
dc.contributor.affiliationsUniversiti Sains Islam Malaysia (USIM)
dc.contributor.affiliationsNational University of Uzbekistan
dc.contributor.affiliationsUniversiti Putra Malaysia (UPM)
dc.contributor.authorEshkuvatov Z.en_US
dc.contributor.authorKommuji M.en_US
dc.contributor.authorAloev R.en_US
dc.contributor.authorLong N.M.A.N.en_US
dc.contributor.authorKhudoyberganov M.en_US
dc.date.accessioned2024-05-29T02:03:46Z
dc.date.available2024-05-29T02:03:46Z
dc.date.issued2020
dc.description.abstractA hypersingular integral equations (HSIEs) of the first kind on the interval [?1, 1] with the assumption that kernel of the hypersingular integral is constant on the diagonal of the domain is considered. Truncated series of Chebyshev polynomials of the third and fourth kinds are used to find semi bounded (unbounded on the left and bounded on the right and vice versa) solutions of HSIEs of first kind. Exact calculations of singular and hypersingular integrals with respect to Chebyshev polynomials of third and forth kind with corresponding weights allows us to obtain high accurate approximate solution. Gauss-Chebyshev quadrature formula is extended for regular kernel integrals. Three examples are provided to verify the validity and accuracy of the proposed method. Numerical examples reveal that approximate solutions are exact if solution of HSIEs is of the polynomial forms with corresponding weights.en_US
dc.identifier.doi10.13189/ms.2020.080206
dc.identifier.epage120
dc.identifier.issn23322071
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85079464704
dc.identifier.spage106
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85079464704&doi=10.13189%2fms.2020.080206&partnerID=40&md5=3dc32c366b7a90422aba5528c630bd6c
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/10270
dc.identifier.volume8
dc.languageEnglish
dc.language.isoen_USen_US
dc.publisherHorizon Research Publishingen_US
dc.relation.ispartofMathematics and Statisticsen_US
dc.sourceScopus
dc.subjectApproximationen_US
dc.subjectChebyshev polynomialsen_US
dc.subjectConvergenceen_US
dc.subjectHypersingular integral equationsen_US
dc.titleSemi bounded solution of hypersingular integral equations of the first kind on the rectangleen_US
dc.typeArticleen_US
dspace.entity.typePublication

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