Publication:
Effective quadrature formula in solving linear integro-differential equations of order two

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dc.Conferencecode129766
dc.Conferencedate27 September 2016 through 29 September 2016
dc.Conferencename24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016
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.authorLong N.M.A.N.en_US
dc.contributor.authorYunus A.A.M.en_US
dc.date.accessioned2024-05-28T08:44:12Z
dc.date.available2024-05-28T08:44:12Z
dc.date.issued2017
dc.description.abstractIn this note, we solve general form of Fredholm-Volterra integro-differential equations (IDEs) of order 2 with boundary condition approximately and show that proposed method is effective and reliable. Initially, IDEs is reduced into integral equation of the third kind by using standard integration techniques and identity between multiple and single integrals then truncated Legendre series are used to estimate the unknown function. For the kernel integrals, we have applied Gauss-Legendre quadrature formula and collocation points are chosen as the roots of the Legendre polynomials. Finally, reduce the integral equations of the third kind into the system of algebraic equations and Gaussian elimination method is applied to get approximate solutions. Numerical examples and comparisons with other methods reveal that the proposed method is very effective and dominated others in many cases. General theory of existence of the solution is also discussed. � 2017 Author(s).
dc.description.natureFinalen_US
dc.editorHasni R.Rudrusamy G.Rahim H.A.Salleh H.Jalil M.M.A.Salleh Z.Lola M.S.en_US
dc.identifier.ArtNo40077
dc.identifier.doi10.1063/1.4995909
dc.identifier.isbn9780740000000
dc.identifier.issn0094243X
dc.identifier.scopus2-s2.0-85028337722
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85028337722&doi=10.1063%2f1.4995909&partnerID=40&md5=d4c79b48864f5cf179e711ba5955dfc2
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/9372
dc.identifier.volume1870
dc.languageEnglish
dc.language.isoen_US
dc.publisherAmerican Institute of Physics Inc.en_US
dc.relation.ispartofAIP Conference Proceedings
dc.sourceScopus
dc.subjectApproximationsen_US
dc.subjectCollocation methoden_US
dc.subjectIntegro-differential equationsen_US
dc.subjectLegendre polynomialsen_US
dc.titleEffective quadrature formula in solving linear integro-differential equations of order two
dc.typeConference Paperen_US
dspace.entity.typePublication

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