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Positivity preserving computational techniques for nonlinear autocatalytic chemical reaction model

dc.contributor.authorAhmed, Nauman
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorKorkmaz, Alper
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorRehman, Muhammad Aziz-Ur
dc.contributor.authorAli, Mubasher
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-12-06T10:23:57Z
dc.date.available2022-12-06T10:23:57Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn many physical problems, positivity is one of the most prevalent and imperative attribute of diverse mathematical models such as concentration of chemical reactions, population dynamics etc. However, the numerical discretization of dynamical systems that illustrate negative values may lead to meaningless solutions and sometimes to their divergence. The main objective of this work is to develop positivity preserving numerical schemes for the two-dimensional autocatalytic reaction diffusion Brusselator model. Two explicit finite difference (FD) schemes are proposed to solve numerically the two-dimensional Brusselator system. The proposed methods are the non-standard finite difference (NSFD) scheme and the unconditionally positivity preserving scheme. These numerical methods retain the positivity of the solution and the stability of the equilibrium point. Both proposed numerical schemes are compared with the forward Euler explicit FD scheme. The stability and consistency of all schemes are proved analytically and then verified by numerical simulations. © 2020, Editura Academiei Romane. All rights reserved.en_US
dc.identifier.citationAhmed, Nauman...et al. (2020). "Positivity preserving computational techniques for nonlinear autocatalytic chemical reaction model", Romanian Reports in Physics, Vol. 72, No. 4, pp. 1-15.en_US
dc.identifier.endpage15en_US
dc.identifier.issn1221-1451
dc.identifier.issue4en_US
dc.identifier.startpage1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5930
dc.identifier.volume72en_US
dc.language.isoenen_US
dc.relation.ispartofRomanian Reports in Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCharged Liquid Dropen_US
dc.subjectShell Correctionsen_US
dc.subjectTernary Fissionen_US
dc.subjectThree Center Shell Modeen_US
dc.titlePositivity preserving computational techniques for nonlinear autocatalytic chemical reaction modeltr_TR
dc.titlePositivity Preserving Computational Techniques for Nonlinear Autocatalytic Chemical Reaction Modelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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