A hybrid approach for non-linear fractional Newell-Whitehead-Segel model

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dc.authoridPurohit, S. D./0000-0002-1098-5961
dc.authoridMisro, Md Yushalify/0000-0001-7869-0345
dc.contributor.authorYadav, L. K.
dc.contributor.authorAgarwal, G.
dc.contributor.authorGour, M. M.
dc.contributor.authorAkguel, A.
dc.contributor.authorMisro, Md Yushalify
dc.contributor.authorPurohit, S. D.
dc.date.accessioned2024-12-24T19:25:20Z
dc.date.available2024-12-24T19:25:20Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this article, we applied the Shehu transform decomposition method (STDM) to obtain the approximate solution of the nonlinear fractional Newell-Whitehead-Segel equation that arises in various physical phenomena, such as fluid mechanics, solid -state physics, optics, plasma physics, dispersion, and chemical kinetics. The fractional NWS model is associated with the temperature and thermal convection of fluid dynamics, aiding in describing the formulation process on liquid surfaces restricted along a horizontally well-conducting boundary. To minimize computing complexity and intricacy, we utilized the proposed method, which combines the Shehu transform and the Adomian decomposition method, to solve the presented model. The results obtained by implementing the suggested method confirm that the solution approaches closer to the exact solution as the value tends from fractional order towards integer order. Moreover, the proposed method is interesting, easy, and highly accurate in solving various nonlinear fractional-order partial differential equations. The numerical results and their graphical simulations are presented using MATLAB.
dc.description.sponsorshipUniversiti Sains Malaysia under Short Term Grant (STG-Khas) [304/PMATHS/6315587]; School of Mathematical Sciences, Universiti Sains Malaysia
dc.description.sponsorshipThis research was supported by Universiti Sains Malaysia under Short Term Grant (STG-Khas) (304/PMATHS/6315587) and School of Mathematical Sciences, Universiti Sains Malaysia. The authors are very grateful to the anonymous referees for their valuable suggestion.
dc.identifier.doi10.1016/j.asej.2024.102645
dc.identifier.issn2090-4479
dc.identifier.issn2090-4495
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85184051545
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.asej.2024.102645
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6364
dc.identifier.volume15
dc.identifier.wosWOS:001223365300001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAin Shams Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectNon-linear Newell-Whitehead-Segel model
dc.subjectAdomain decomposition technique
dc.subjectShehu transform
dc.subjectCaputo derivative
dc.titleA hybrid approach for non-linear fractional Newell-Whitehead-Segel model
dc.typeArticle

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