A New Treatment of the Decomposition Method for Nonclassical Boundary Value Problems

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dc.contributor.authorYücel, Merve
dc.contributor.authorMukhtarov, Oktay Sh.
dc.date.accessioned2021-11-01T15:01:51Z
dc.date.available2021-11-01T15:01:51Z
dc.date.issued2018
dc.department[Belirlenecek]
dc.description.abstractIn this work, we will adapt the Adomian Decomposition Method to nonclassical boundary value problems the main feature of which is the nature of the equations and the boundary conditions imposed. Namely, the boundary conditions contains not only end points of the considered interval, but also a interior point of singularity at which given additional so-called transmission conditions, so our problem is the nonclassical once. Based on decomposition method and our own approaches a new analytical treatment is introduced for such type transmission problems. By comparision with the exact solutions we show that the Adomian decomposition method (ADM) is an efficient method for solving nonclassical Sturm-Liouville type problems under supplementary transmission conditions.
dc.identifier.doi10.1166/jap.2018.1412
dc.identifier.endpage166en_US
dc.identifier.issn2168-1996
dc.identifier.issn2168-2003
dc.identifier.issue2en_US
dc.identifier.startpage161en_US
dc.identifier.urihttps://doi.org/10.1166/jap.2018.1412
dc.identifier.urihttps://hdl.handle.net/11491/6714
dc.identifier.volume7en_US
dc.identifier.wosWOS:000445558300002
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.institutionauthorYücel, Merve
dc.language.isoen
dc.publisherAmer Scientific Publishers
dc.relation.ispartofJournal Of Advanced Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAdomian Decomposition Methoden_US
dc.subjectSturm-Liouville Problemsen_US
dc.subjectTransmission Conditionsen_US
dc.subjectEigenvalueen_US
dc.titleA New Treatment of the Decomposition Method for Nonclassical Boundary Value Problems
dc.typeArticle

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