A Simpson Type Trigonometrically Fitted Block Scheme for Numerical Integration of Oscillatory Problems

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dc.contributor.authorAbdulganiy, O.A
dc.contributor.authorAkinfenwa, O.A
dc.contributor.authorOkunuga, S.A
dc.date.accessioned2019-02-27T14:40:24Z
dc.date.available2019-02-27T14:40:24Z
dc.date.issued2017
dc.descriptionJournal Articlesen_US
dc.description.abstractThe construction of Second Derivative Trigonometrically Fitted Block Scheme of Simpson Type (TFBSST) of algebraic order 6via collocation techniques is considered for the solution of oscillatory problems. A Continuous Second Derivative Trigonometrically Fitted method (CSDTF) whose coefficients depend on the frequency and step size is constructed using trigonometric basis function. The CSDTF is used to generate the main method and one additional method which are combined and applied in block form as simultaneous numerical integrators. The investigation of the stability properties of the method shows that the method is zero stable, consistent and convergent. Numerical examples presented show that the method is accurate and efficient.en_US
dc.description.sponsorshipTertiary Education Trust Funden_US
dc.identifier.citationAbdulganiy, O.A, Akinfenwa, O.A and Okunuga, S.A (2017). A Simpson Type Trigonometrically Fitted Block Scheme for Numerical Integration of Oscillatory Problems. Unilag Journal of Medicine, Science and Technology, Vol.5(2), 25-36p.en_US
dc.identifier.issn2408-5049
dc.identifier.urihttps://ir.unilag.edu.ng/handle/123456789/3868
dc.language.isoenen_US
dc.publisherUniversity of Lagos Press, Akokaen_US
dc.relation.ispartofseriesUniversity of lagos Journal;Vol.5(2)
dc.subjectCollocation techniqueen_US
dc.subjectOscillatory problemsen_US
dc.subjectSecond Derivativeen_US
dc.subjectSimpsons Typeen_US
dc.subjectTrigonometrically Fitted methodsen_US
dc.titleA Simpson Type Trigonometrically Fitted Block Scheme for Numerical Integration of Oscillatory Problemsen_US
dc.typeArticleen_US
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Volume 5, Issue 2 , 2017