Publication:
Matrix form of Legendre polynomials for solving linear integro-differential equations of high order

Simple item page
dc.Conferencecode127506
dc.Conferencedate15 November 2016 through 17 November 2016
dc.Conferencename4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016
dc.contributor.affiliationsFaculty of Science and Technology
dc.contributor.affiliationsUniversiti Sains Islam Malaysia (USIM)
dc.contributor.affiliationsUniversiti Putra Malaysia (UPM)
dc.contributor.authorKammuji M.en_US
dc.contributor.authorEshkuvatov Z.K.en_US
dc.contributor.authorYunus A.A.M.en_US
dc.date.accessioned2024-05-28T08:24:39Z
dc.date.available2024-05-28T08:24:39Z
dc.date.issued2017
dc.description.abstractThis paper presents an effective approximate solution of high order of Fredholm-Volterra integro-differential equations (FVIDEs) with boundary condition. Legendre truncated series is used as a basis functions to estimate the unknown function. Matrix operation of Legendre polynomials is used to transform FVIDEs with boundary conditions into matrix equation of Fredholm-Volterra type. Gauss Legendre quadrature formula and collocation method are applied to transfer the matrix equation into system of linear algebraic equations. The latter equation is solved by Gauss elimination method. The accuracy and validity of this method are discussed by solving two numerical examples and comparisons with wavelet and methods. � 2017 Author(s).
dc.description.natureFinalen_US
dc.editorDzul-Kifli S.C.Zamzuri Z.H.Razak F.A.Zin W.Z.W.en_US
dc.identifier.ArtNo20056
dc.identifier.doi10.1063/1.4980919
dc.identifier.isbn9780740000000
dc.identifier.issn0094243X
dc.identifier.scopus2-s2.0-85019501604
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85019501604&doi=10.1063%2f1.4980919&partnerID=40&md5=2a5806b94091a73fb6686920bf630753
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/8536
dc.identifier.volume1830
dc.languageEnglish
dc.language.isoen_US
dc.publisherAmerican Institute of Physics Inc.en_US
dc.relation.ispartofAIP Conference Proceedings
dc.sourceScopus
dc.titleMatrix form of Legendre polynomials for solving linear integro-differential equations of high order
dc.typeConference Paperen_US
dspace.entity.typePublication

Files

Collections

Scopus