Analysis of a diffusive chemical reaction model in three space dimensions

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dc.contributor.authorAhmed, Nauman
dc.contributor.authorAli, Javaid
dc.contributor.authorAkguel, Ali
dc.contributor.authorHamed, Y. S.
dc.contributor.authorAljohani, A. F.
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorKhan, Ilyas
dc.date.accessioned2024-12-24T19:28:13Z
dc.date.available2024-12-24T19:28:13Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThis article proposes an implicit operator splitting nonstandard finite difference (OS-NSFD) scheme for numerical treatment of two species in three space dimensions reaction-diffusion glycolysis model. Since, the unknown state variables exhibiting the concentrations of species in glycolysis models and they cannot be negative and obtaining their positive solutions is a challenging task. The established theoretical result ensures that our proposed OS-NSFD scheme is unconditionally convergent at equilibrium point and fulfills the condition of positivity of solutions on contrary to other methods. Further, we analyze the existence and uniqueness of the solution obtained for the underlying system. To highlight the effectiveness of OS-NSFD scheme we compare the simulation results of OS-NSFD scheme with three well-known existing operators splitting finite difference (FD) schemes, namely, forward Euler explicit, backward Euler implicit and Crank Nicolson splitting schemes. Many existing techniques provide with the restricted positive solutions which do not work always. These techniques are only applicable if certain conditions on the discretized parameters are considered otherwise; they produce negative solutions, which is not the physical feature of the real system. The current work bridges this gap by catering the unconditional positive solutions to the reaction diffusion models.
dc.description.sponsorshipTaif University, Saudi Arabia [TU-DSPP-2024-47]
dc.description.sponsorshipThis research was funded by Taif University, Saudi Arabia, Project No. (TU-DSPP-2024-47).
dc.identifier.doi10.1080/10407790.2024.2364778
dc.identifier.issn1040-7790
dc.identifier.issn1521-0626
dc.identifier.scopus2-s2.0-85197637417
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1080/10407790.2024.2364778
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6970
dc.identifier.wosWOS:001259299600001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Inc
dc.relation.ispartofNumerical Heat Transfer Part B-Fundamentals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectGlycolysis model
dc.subjectnonstandard finite difference scheme
dc.subjectoperator splitting
dc.subjectpositive solutions
dc.subjectreaction-diffusion system
dc.titleAnalysis of a diffusive chemical reaction model in three space dimensions
dc.typeArticle

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