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Solution for nonlinear Duffing oscillator using variable order variable stepsize block method

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dc.contributor.authorRasedee, AFNen_US
dc.contributor.authorSathar, MHAen_US
dc.contributor.authorIshak, Nen_US
dc.contributor.authorKamarudin, NSen_US
dc.contributor.authorNazri, MAen_US
dc.contributor.authorRamli, NAen_US
dc.contributor.authorIrneza Ismailen_US
dc.contributor.authorSahrim, Men_US
dc.date.accessioned2024-05-29T03:27:09Z
dc.date.available2024-05-29T03:27:09Z
dc.date.issued2017
dc.descriptionMATEMATIKA, 2017, Volume 33, Number 2, 165–175en_US
dc.description.abstractReal life phenomena found in various fields such as engineering, physics, biology and communication theory can be modeled as nonlinear higher order ordinary differential equations, particularly the Duffing oscillator. Analytical solutions for these differential equations can be time consuming whereas, conventional numerical solutions may lack accuracy. This research propose a block multistep method integrated with a variable order step size (VOS) algorithm for solving these Duffing oscillators directly. The proposed VOS Block method provides an alternative numerical solution by reducing computational cost (time) but without loss of accuracy. Numerical simulations are compared with known exact solutions for proof of accuracy and against current numerical methods for proof of efficiency (steps taken).en_US
dc.identifier.citationRasedee, A. F. N., Abdul Sathar, M. H., Ishak, N., Kamarudin, N. S., Nazri, M. A., Ramli, N. A., Ismail, I., & Sahrim, M. (2017). Solution for nonlinear Duffing oscillator using variable order variable stepsize block method. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics, 33(2), 165–176. https://doi.org/10.11113/matematika.v33.n2.1015en_US
dc.identifier.doi10.11113/matematika.v33.n2.1015
dc.identifier.epage175
dc.identifier.issn0127-8274
dc.identifier.issue2
dc.identifier.scopusWOS:000419800700005
dc.identifier.spage165
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/12190
dc.identifier.volume33
dc.languageEnglish
dc.language.isoen_USen_US
dc.publisherPenerbit UTM Pressen_US
dc.relation.ispartofMatematikaen_US
dc.sourceWeb Of Science (ISI)
dc.subjectDuffing Oscillatoren_US
dc.subjectmultistep methoden_US
dc.subjectordinary differential equationsen_US
dc.titleSolution for nonlinear Duffing oscillator using variable order variable stepsize block methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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