Extension of Atangana-Seda numerical method to partial differential equations with integer and non-integer order

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dc.authoridIGRET ARAZ, SEDA/0000-0002-7698-0709
dc.contributor.authorAtangana, Abdon
dc.contributor.authorAraz, Seda Igret
dc.date.accessioned2024-12-24T19:25:09Z
dc.date.available2024-12-24T19:25:09Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this study, we extend newly introduced numerical method to partial differential and integral equations with integer and non-integer order. This numerical approximation suggested by Atangana and Seda was constructed with Newton polynomial. Moreover it is accurate and effi-cient for solving partial differential and integral equations. Also, we present numerical simulation for solution of the considered equation. The numerical results show that this numerical approach is useful and accurate for obtaining numerical solution of such equations. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
dc.identifier.doi10.1016/j.aej.2020.02.031
dc.identifier.endpage2370
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85082120293
dc.identifier.scopusqualityQ1
dc.identifier.startpage2355
dc.identifier.urihttps://doi.org/10.1016/j.aej.2020.02.031
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6295
dc.identifier.volume59
dc.identifier.wosWOS:000563768600010
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectHeat equation
dc.subjectNew numerical scheme
dc.subjectFractional calculus
dc.subjectFractal calculus
dc.titleExtension of Atangana-Seda numerical method to partial differential equations with integer and non-integer order
dc.typeArticle

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