Publication:
Effective Quadrature Formula in Solving Linear Integro-Differential Equations of Order Two

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dc.ConferencecodeMalaysian Math Sci Soc
dc.ConferencedateSEP 27-29, 2017
dc.ConferencelocationUniv Malaysia Terengganu, Sch Informat & Appl Math, MALAYSIA
dc.Conferencename24th National Symposium on Mathematical Sciences (SKSM)
dc.contributor.authorEshkuvatov, ZKen_US
dc.contributor.authorKammuji, Men_US
dc.contributor.authorLong, NMANen_US
dc.contributor.authorYunus, AAMen_US
dc.date.accessioned2024-05-29T02:49:42Z
dc.date.available2024-05-29T02:49:42Z
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.
dc.identifier.doi10.1063/1.4995909
dc.identifier.issn0094-243X
dc.identifier.scopusWOS:000410777800086
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/10909
dc.identifier.volume1870
dc.languageEnglish
dc.language.isoen_US
dc.publisherAMER INST PHYSICSen_US
dc.sourceWeb Of Science (ISI)
dc.sourcetitlePROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION
dc.subjectIntegro-differential equationsen_US
dc.subjectLegendre polynomialsen_US
dc.subjectApproximationsen_US
dc.subjectCollocation methoden_US
dc.titleEffective Quadrature Formula in Solving Linear Integro-Differential Equations of Order Two
dc.typeProceedings Paperen_US
dspace.entity.typePublication

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