Numerical scheme and stability analysis of stochastic Fitzhugh-Nagumo model

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dc.authoridRafiq, Muhammad/0000-0002-2165-3479
dc.authoridIqbal, Muhammad Sajid/0000-0001-6929-8093
dc.contributor.authorYasin, Muhammad W.
dc.contributor.authorIqbal, Muhammad S.
dc.contributor.authorAhmed, Nauman
dc.contributor.authorAkgul, Ali
dc.contributor.authorRaza, Ali
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorRiaz, Muhammad Bilal
dc.date.accessioned2024-12-24T19:27:42Z
dc.date.available2024-12-24T19:27:42Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThis article deals with the Fitzhugh-Nagumo equation in the presence of stochastic function. A numerical scheme has been developed for the solution of such equations which preserves the certain structure of the unknown functions, also we have given the stability analysis, consistency of the problem, and explicitly optimal a priori estimates for the existence of solutions of such equations. A unique solution has been guaranteed. The corresponding explicit estimates in the function spaces are formulated in the form of theorems. Lastly, one important feature of the article is the simulation of the proposed numerical scheme in the form of the 2D and 3D plots which shows the efficacy of the stochastic analysis of such nonlinear partial differential equations.
dc.identifier.doi10.1016/j.rinp.2021.105023
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85121106199
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2021.105023
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6728
dc.identifier.volume32
dc.identifier.wosWOS:000793368500005
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectStochastic Fitzhugh-Nagumo equation
dc.subjectExistence
dc.subjectNumerical scheme
dc.subjectStability
dc.subjectAnd consistency
dc.titleNumerical scheme and stability analysis of stochastic Fitzhugh-Nagumo model
dc.typeArticle

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