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Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations

2016Journal article Restricted access
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dc.contributor.authorBhrawy, A.H.
dc.contributor.authorAbdelkawy, M.A.
dc.contributor.authorMachado, J. A. Tenreiro
dc.contributor.authorAmin, A.Z.M.
dc.date.accessioned2017-01-25T16:26:18Z
dc.date.embargo2117
dc.date.issued2016
dc.description.abstractThis paper reports a new spectral collocation technique for solving second kind Fredholm integral equations (FIEs). We develop a collocation scheme to approximate FIEs by means of the shifted Legendre–Gauss–Lobatto collocation (SL–GL-C) method. Moreover, we adapt the SL–GL-C algorithm to solve one dimensional second kind FIEs and system of FIEs. Two numerical algorithms are also investigated to solve the two dimensional FIEs. Extensive numerical tests illustrate the capability and high accuracy of the proposed methodologies.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doihttp://dx.doi.org/10.1016/j.camwa.2016.04.011pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/9417
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.relation.ispartofseriesComputers & Mathematics with Applications;In press
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0898122116301894pt_PT
dc.subjectFredholm integral equationpt_PT
dc.subjectSpectral collocation methodpt_PT
dc.subjectShifted Legendre polynomialspt_PT
dc.subjectSystem of Fredholm integral equationspt_PT
dc.subjectShifted Legendre–Gauss–Lobattopt_PT
dc.subjectQuadraturept_PT
dc.titleLegendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equationspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.titleComputers and Mathematics with Applicationspt_PT
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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