Numerical approach of the nonlinear reaction-advection-diffusion equation with time-space conformable fractional derivatives

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dc.authorid0000-0001-5365-6116en_US
dc.contributor.authorBrahim, Nouiri
dc.date.accessioned2024-07-12T20:47:14Z
dc.date.available2024-07-12T20:47:14Z
dc.date.issued2021en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, a numerical approach is proposed for solving one dimensional nonlinear time-space-fractional reactionadvection-diffusion equation with Dirichlet boundary conditions. The fractional derivatives are described in the conformable sense. The numerical scheme is based on shifted Chebyshev polynomials of the fourth kind. The unknown function is written as Chebyshev series with m terms. The nonlinear space fractional reaction-advection-diffusion equation is reduced to a system of nonlinear ordinary differential equations by using the properties of Chebyshev polynomials and conformable fractional calculus.The finite difference method is applied to solve this system. Finally, numerical example is presented to confirm the reliability and effectiveness of the proposed approach.en_US
dc.identifier.citationBrahim, N. (2021). Numerical approach of the nonlinear reaction-advection-diffusion equation with time-space conformable fractional derivatives. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-5.en_US
dc.identifier.endpage5en_US
dc.identifier.isbn978-0-7354-4078-4
dc.identifier.startpage1en_US
dc.identifier.urihttps://aip.scitation.org/doi/10.1063/5.0042459
dc.identifier.urihttps://hdl.handle.net/20.500.12415/1955
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofFourth International Conference of Mathematical Sciencesen_US
dc.relation.isversionof10.1063/5.0042459en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07375
dc.subjectConformable fractional calculusen_US
dc.subjectFinite difference methoden_US
dc.subjectReaction-advection-diffusion equationen_US
dc.subjectShifted Chebyshev polynomials of the fourth kinden_US
dc.titleNumerical approach of the nonlinear reaction-advection-diffusion equation with time-space conformable fractional derivativesen_US
dc.typeConference Object
dspace.entity.typePublication

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