Optimal variational iteration method for parametric boundary value problem

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dc.authoridNadeem, Muhammad/0000-0002-9349-4729
dc.authoridAin, Qura tul/0000-0003-4442-4756
dc.contributor.authorAin, Qura Tul
dc.contributor.authorNadeem, Muhammad
dc.contributor.authorKarim, Shazia
dc.contributor.authorAkguel, Ali
dc.contributor.authorJarad, Fahd
dc.date.accessioned2024-12-24T19:34:01Z
dc.date.available2024-12-24T19:34:01Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractMathematical applications in engineering have a long history. One of the most well-known analytical techniques, the optimal variational iteration method (OVIM), is utilized to construct a quick and accurate algorithm for a special fourth-order ordinary initial value problem. Many researchers have discussed the problem involving a parameter c. We solve the parametric boundary value problem that can't be addressed using conventional analytical methods for greater values of c using a new method and a convergence control parameter h. We achieve a convergent solution no matter how huge c is. For the approximation of the convergence control parameter h, two strategies have been discussed. The advantages of one technique over another have been demonstrated. Optimal variational iteration method can be seen as an effective technique to solve parametric boundary value problem.
dc.identifier.doi10.3934/math.2022912
dc.identifier.endpage16656
dc.identifier.issn2473-6988
dc.identifier.issue9
dc.identifier.scopus2-s2.0-85134035523
dc.identifier.scopusqualityQ1
dc.identifier.startpage16649
dc.identifier.urihttps://doi.org/10.3934/math.2022912
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8391
dc.identifier.volume7
dc.identifier.wosWOS:000829525100002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectboundary value problem
dc.subjecth-curves
dc.subjectresidual error method
dc.subjectoptimal variational iteration method
dc.titleOptimal variational iteration method for parametric boundary value problem
dc.typeArticle

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