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dc.contributor.authorAksoylu, Burak
dc.contributor.authorÇeliker, Fatih
dc.date.accessioned2019-07-04T14:19:41Z
dc.date.available2019-07-04T14:19:41Z
dc.date.issued2016
dc.identifier.citationAksoylu, B., & Celiker, F. (2016). Comparison of nonlocal operators utilizing perturbation analysis. In Numerical Mathematics and Advanced Applications ENUMATH 2015 (pp. 589-606). Springer, Cham.en_US
dc.identifier.isbn978-331939927-0
dc.identifier.issn1439-7358
dc.identifier.urihttps://doi.org/10.1007/978-3-319-39929-4_57
dc.identifier.urihttp://hdl.handle.net/20.500.11851/1674
dc.description.abstractWe present a comparative study of integral operators used in nonlocal problems. The size of nonlocality is determined by the parameter ?. The authors recently discovered a way to incorporate local boundary conditions into nonlocal problems. We construct two nonlocal operators which satisfy local homogeneous Neumann boundary conditions. We compare the bulk and boundary behaviors of these two to the operator that enforces nonlocal boundary conditions. We construct approximations to each operator using perturbation expansions in the form of Taylor polynomials by consistently keeping the size of expansion neighborhood equal to ?. In the bulk, we show that one of these two operators exhibits similar behavior with the operator that enforces nonlocal boundary conditions.en_US
dc.language.isoengen_US
dc.publisherSpringer Verlagen_US
dc.relation.ispartofNumerical Mathematics And Advanced Applications (ENUMATH 2015)en_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectKernel Functionen_US
dc.subject Transition Pointen_US
dc.subject Classical Operatoren_US
dc.subject Perturbation Expansionen_US
dc.subject Boundary Conditionen_US
dc.titleComparison of Nonlocal Operators Utilizing Perturbation Analysisen_US
dc.typeconferenceObjecten_US
dc.relation.journalLecture Notes in Computational Science and Engineeringen_US
dc.contributor.departmentTOBB ETU, Faculty of Science and Literature, Department of Mathematicsen_US
dc.contributor.departmentTOBB ETÜ, Fen Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.identifier.volume112
dc.identifier.startpage589
dc.identifier.endpage606
dc.relation.tubitakinfo:eu-repo/grantAgreement/TÜBİTAK/TBAG/112T240en_US
dc.relation.tubitakinfo:eu-repo/grantAgreement/TÜBİTAK/MAG/112M891en_US
dc.relation.ecEuropean Commission [293978]en_US
dc.contributor.orcidhttps://orcid.org/0000-0002-7244-3340
dc.identifier.wosWOS:000398020000057
dc.identifier.scopus2-s2.0-84998827968
dc.contributor.tobbetuauthorAksoylu, Burak
dc.contributor.YOKid29230
dc.identifier.doi10.1007/978-3-319-39929-4_57
dc.contributor.wosresearcherIDC-4948-2016
dc.contributor.ScopusAuthorID23979376500
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıtr_TR
dc.relation.internationalNational Science Foundation DMS [1016190]en_US
dc.relation.internationalNational Science Foundation DMS [1115280]en_US


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