Generalization of the bisection method and its applications in nonlinear equations

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dc.authoridHussain, Rashida/0000-0003-4507-6255en_US
dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authorscopusid57193538409en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid57193505193en_US
dc.authorscopusid58149184400en_US
dc.authorwosidHussain, Rashida/KCY-5813-2024en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorGulshan, Ghazala
dc.contributor.authorBudak, Huseyin
dc.contributor.authorHussain, Rashida
dc.contributor.authorSadiq, Asad
dc.date.accessioned2024-08-23T16:04:04Z
dc.date.available2024-08-23T16:04:04Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe aim of the current work is to generalize the well-known bisection method using quantum calculus approach. The results for different values of quantum parameter q are analyzed, and the rate of convergence for each q ? (0,1) is also determined. Some physical problems in engineering are resolved using the QBM technique for various values of the quantum parameter q up to three iterations to examine the validity of the method. Furthermore, it is proven that QBM is always convergent and that for each interval there exists q ? (0,1) for which the first approximation of root coincides with the precise solution of the problem.en_US
dc.identifier.doi10.1186/s13662-023-03765-5
dc.identifier.issn2731-4235
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85151308703en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1186/s13662-023-03765-5
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14052
dc.identifier.volume2023en_US
dc.identifier.wosWOS:000959617000001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofAdvances in Continuous And Discrete Modelsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNonlinear equationsen_US
dc.subjectBisection methoden_US
dc.titleGeneralization of the bisection method and its applications in nonlinear equationsen_US
dc.typeArticleen_US

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