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Variable order variable stepsize algorithm for solving nonlinear Duffing oscillator

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dc.ConferencecodeUniv Malaysia Pahang, Fac Ind Sci & Technol, Inst Teknologi Sepuluh, Soc Ind & Appl Math, Malaysian Math Sci Soc, Malaysian Inst Stat
dc.ConferencedateAUG 08-10, 2017
dc.ConferencelocationKuantan, MALAYSIA
dc.Conferencename1st International Conference on Applied and Industrial Mathematics and Statistics (ICoAIMS)
dc.contributor.authorRasedee, AFNen_US
dc.contributor.authorIshak, Nen_US
dc.contributor.authorHamzah, SRen_US
dc.contributor.authorIjam, HMen_US
dc.contributor.authorSuleiman, Men_US
dc.contributor.authorIbrahim, ZBen_US
dc.contributor.authorSathar, MHAen_US
dc.contributor.authorRamli, NAen_US
dc.contributor.authorKamaruddin, NSen_US
dc.date.accessioned2024-05-29T03:26:53Z
dc.date.available2024-05-29T03:26:53Z
dc.date.issued2017
dc.description.abstractNonlinear phenomena in science and engineering such as a periodically forced oscillator with nonlinear elasticity are often modeled by the Duffing oscillator (Duffing equation). The Duffling oscillator is a type of nonlinear higher order differential equation. In this research, a numerical approximation for solving the Duffing oscillator directly is introduced using a variable order stepsize (VOS) algorithm coupled with a backward difference formulation. By selecting the appropriate restrictions, the VOS algorithm provides a cost efficient computational code without affecting its accuracy. Numerical results have demonstrated the advantages of a variable order stepsize algorithm over conventional methods in terms of total steps and accuracy.en_US
dc.identifier.doi10.1088/1742-6596/890/1/012045
dc.identifier.isbn1742-6596
dc.identifier.issn1742-6588
dc.identifier.scopusWOS:000423857800045
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/12167
dc.identifier.volume890
dc.languageEnglish
dc.language.isoen_USen_US
dc.publisherIOP PUBLISHING LTDen_US
dc.sourceWeb Of Science (ISI)
dc.sourcetitle1ST INTERNATIONAL CONFERENCE ON APPLIED & INDUSTRIAL MATHEMATICS AND STATISTICS 2017 (ICOAIMS 2017)
dc.titleVariable order variable stepsize algorithm for solving nonlinear Duffing oscillatoren_US
dc.typeArticleen_US
dspace.entity.typePublication

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