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https://hdl.handle.net/20.500.11851/1674
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Aksoylu, Burak | - |
dc.contributor.author | Çeliker, Fatih | - |
dc.date.accessioned | 2019-07-04T14:19:41Z | |
dc.date.available | 2019-07-04T14:19:41Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Aksoylu, 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.isbn | 978-331939927-0 | |
dc.identifier.issn | 1439-7358 | |
dc.identifier.uri | https://doi.org/10.1007/978-3-319-39929-4_57 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/1674 | - |
dc.description.abstract | We 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.iso | en | en_US |
dc.publisher | Springer Verlag | en_US |
dc.relation.ispartof | Lecture Notes in Computational Science and Engineering | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Kernel Function | en_US |
dc.subject | Transition Point | en_US |
dc.subject | Classical Operator | en_US |
dc.subject | Perturbation Expansion | en_US |
dc.subject | Boundary Condition | en_US |
dc.title | Comparison of Nonlocal Operators Utilizing Perturbation Analysis | en_US |
dc.type | Conference Object | en_US |
dc.department | Faculties, Faculty of Science and Literature, Department of Mathematics | en_US |
dc.department | Fakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü | tr_TR |
dc.identifier.volume | 112 | |
dc.identifier.startpage | 589 | |
dc.identifier.endpage | 606 | |
dc.relation.tubitak | info:eu-repo/grantAgreement/TÜBİTAK/TBAG/112T240 | en_US |
dc.relation.tubitak | info:eu-repo/grantAgreement/TÜBİTAK/MAG/112M891 | en_US |
dc.relation.ec | European Commission [293978] | en_US |
dc.authorid | 0000-0002-7244-3340 | - |
dc.identifier.wos | WOS:000398020000057 | en_US |
dc.identifier.scopus | 2-s2.0-84998827968 | en_US |
dc.institutionauthor | Aksoylu, Burak | - |
dc.identifier.doi | 10.1007/978-3-319-39929-4_57 | - |
dc.authorwosid | C-4948-2016 | - |
dc.authorscopusid | 23979376500 | - |
dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
dc.relation.international | National Science Foundation DMS [1016190] | en_US |
dc.relation.international | National Science Foundation DMS [1115280] | en_US |
dc.identifier.scopusquality | Q2 | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
item.languageiso639-1 | en | - |
item.openairetype | Conference Object | - |
Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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