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Effective approximation method for solving linear Fredholm-Volterra integral equations

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dc.FundingDetailsUniversiti Putra Malaysia Universiti Sains Islam Malaysia: PPP/GP/FST/30/14915
dc.FundingDetailsThis work was supported by Universiti Sains Islam Malaysia (USIM) under Research Grand PPP/GP/FST/30/14915, and University Putra Malaysia under Fundamental Research Grant Scheme (FRGS). Project code is 01-12-10-989FR.
dc.citedby2
dc.contributor.affiliationsFaculty of Science and Technology
dc.contributor.affiliationsUniversiti Sains Islam Malaysia (USIM)
dc.contributor.affiliationsUniversiti Putra Malaysia (UPM)
dc.contributor.authorEshkuvatov Z.K.en_US
dc.contributor.authorKammuji M.en_US
dc.contributor.authorTaib B.M.en_US
dc.contributor.authorNik Long N.M.A.en_US
dc.date.accessioned2024-05-28T08:26:23Z
dc.date.available2024-05-28T08:26:23Z
dc.date.issued2017
dc.description.abstractAn efficient approximate method for solving Fredholm-Volterra integral equations of the third kind is presented. As a basis functions truncated Legendre series is used for unknown function and Gauss-Legendre quadrature formula with collocation method are applied to reduce problem into linear algebraic equations. The existence and uniqueness solution of the integral equation of the 3rd kind are shown as well as rate of convergence is obtained. Illustrative examples revels that the proposed method is very efficient and accurate. Finally, comparison results with the previous work are also given. � 2017, American Institute of Mathematical Sciences. All rights reserved.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.3934/naco.2017004
dc.identifier.epage88
dc.identifier.issn21553289
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85013746648
dc.identifier.spage77
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85013746648&doi=10.3934%2fnaco.2017004&partnerID=40&md5=953d3a33a8f3edcff8f0c8f7c098dd3d
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/8728
dc.identifier.volume7
dc.languageEnglish
dc.language.isoen_USen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.ispartofOpen Accessen_US
dc.relation.ispartofNumerical Algebra, Control and Optimization
dc.sourceScopus
dc.subjectApproximationsen_US
dc.subjectCollocation methoden_US
dc.subjectGalerkin methoden_US
dc.subjectIntegral equationsen_US
dc.subjectLegendre polynomialsen_US
dc.subjectRegular kernelen_US
dc.titleEffective approximation method for solving linear Fredholm-Volterra integral equationsen_US
dc.title.alternativeNumer. Algebra Control Optim.en_US
dc.typeArticleen_US
dspace.entity.typePublication

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