An integrated numerical method with error analysis for solving fractional differential equations of quintic nonlinear type arising in applied sciences

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dc.contributor.authorKürkçü Ö.K.
dc.contributor.authorAslan E.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:08:12Z
dc.date.available2024-07-22T08:08:12Z
dc.date.issued2019
dc.description.abstractIn this study, fractional differential equations having quintic nonlinearity are considered by proposing an accurate numerical method based on the matching polynomial and matrix-collocation system. This method provides an integration between matrix and fractional derivative, which makes it fast and efficient. A hybrid computer program is designed by making use of the fast algorithmic structure of the method. An error analysis technique consisting of the fractional-based residual function is constructed to scrutinize the precision of the method. Some error tests are also performed. Figures and tables present the consistency of the approximate solutions of highly stiff model problems. All results point out that the method is effective, simple, and eligible. © 2019 John Wiley & Sons, Ltd.
dc.identifier.DOI-ID10.1002/mma.5708
dc.identifier.issn01704214
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14279
dc.language.isoEnglish
dc.publisherJohn Wiley and Sons Ltd
dc.subjectControl nonlinearities
dc.subjectDifferential equations
dc.subjectError analysis
dc.subjectHybrid computers
dc.subjectNonlinear equations
dc.subjectAlgorithmic structure
dc.subjectAnalysis techniques
dc.subjectApproximate solution
dc.subjectCollocation method
dc.subjectFractional derivatives
dc.subjectFractional differential equations
dc.subjectQuintic nonlinearity
dc.subjectResidual functions
dc.subjectNumerical methods
dc.titleAn integrated numerical method with error analysis for solving fractional differential equations of quintic nonlinear type arising in applied sciences
dc.typeArticle

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