Comparative study of fractional Newell-Whitehead-Segel equation using optimal auxiliary function method and a novel iterative approach

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dc.authoridBonyah, Ebenezer/0000-0003-0808-4504
dc.authorid, Abdul Hamid Ganie/0000-0002-1787-5036
dc.authoridXin, Xiao/0009-0003-5942-0923
dc.authorid, Dr. Dowlath Fathima/0000-0002-9516-1485
dc.contributor.authorXin, Xiao
dc.contributor.authorKhan, Ibrar
dc.contributor.authorGanie, Abdul Hamid
dc.contributor.authorAkgul, Ali
dc.contributor.authorBonyah, Ebenezer
dc.contributor.authorFathima, Dowlath
dc.contributor.authorYousif, Badria Almaz Ali
dc.date.accessioned2024-12-24T19:28:00Z
dc.date.available2024-12-24T19:28:00Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThis research explores the solution of the time-fractional Newell-Whitehead-Segel equation using two separate methods: the optimal auxiliary function method and a new iterative method. The Newell-Whitehead-Segel equation holds significance in modeling nonlinear systems, particularly in delineating stripe patterns within two-dimensional systems. Employing the Caputo fractional derivative operator, we address two case study problems pertaining to this equation through our proposed methods. Comparative analysis between the numerical results obtained from our techniques and an exact solution reveals a strong alignment. Graphs and tables illustrate this alignment, showcasing the effectiveness of our methods. Notably, as the fractional orders vary, the results achieved at different fractional orders are compared, highlighting their convergence toward the exact solution as the fractional order approaches an integer. Demonstrating both interest and simplicity, our proposed methods exhibit high accuracy in resolving diverse nonlinear fractional order partial differential equations. (c) 2024 Author(s).
dc.identifier.doi10.1063/5.0200059
dc.identifier.issn2158-3226
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85188026192
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1063/5.0200059
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6879
dc.identifier.volume14
dc.identifier.wosWOS:001185731800015
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAip Publishing
dc.relation.ispartofAip Advances
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.titleComparative study of fractional Newell-Whitehead-Segel equation using optimal auxiliary function method and a novel iterative approach
dc.typeArticle

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