Analytical and numerical approaches to nerve impulse model of fractional-order

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dc.contributor.authorYavuz, Mehmet
dc.contributor.authorYokus, Asif
dc.date.accessioned2024-02-23T13:03:28Z
dc.date.available2024-02-23T13:03:28Z
dc.date.issued2020
dc.departmentNEÜen_US
dc.description.abstractWe consider a fractional-order nerve impulse model which is known as FitzHugh-Nagumo (F-N) model in this paper. Knowing the solutions of this model allows the management of the nerve impulses process. Especially, considering this model as fractional-order ensures to be able to analyze in detail because of the memory effect. In this context, first, we use an analytical solution and with the aim of this solution, we obtain numerical solutions by using two numerical schemes. Then, we demonstrate the walking wave-type solutions of the stated problem. These solutions include complex trigonometric functions, complex hyperbolic functions, and algebraic functions. In addition, the linear stability analysis is performed and the absolute error is occurred by comparing the numerical results with the analytical result. All of the results are depicted by tables and figures. This paper not only points out the exact and numerical solutions of the model but also compares the differences and the similarities of the stated solution methods. Therefore, the results of this paper are important and useful for either neuroscientists and physicists or mathematicians and engineers.en_US
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of Turkey)en_US
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of Turkey).en_US
dc.identifier.doi10.1002/num.22476
dc.identifier.endpage1368en_US
dc.identifier.issn0749-159X
dc.identifier.issn1098-2426
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85085694974en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1348en_US
dc.identifier.urihttps://doi.org/10.1002/num.22476
dc.identifier.urihttps://hdl.handle.net/20.500.12452/10630
dc.identifier.volume36en_US
dc.identifier.wosWOS:000536995400001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofNumerical Methods For Partial Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject(G '/G, 1/G)-Expansion Methoden_US
dc.subjectFinite Difference Schemeen_US
dc.subjectFitzhugh-Nagumo Modelen_US
dc.subjectLaplace Decomposition Methoden_US
dc.subjectLinear Stability Analysisen_US
dc.subjectNumerical Analysisen_US
dc.titleAnalytical and numerical approaches to nerve impulse model of fractional-orderen_US
dc.typeArticleen_US

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