Numerical estimation of the fractional advection-dispersion equation under the modified Atangana-Baleanu-Caputo derivative

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dc.contributor.authorPartohaghighi, Mohammad
dc.contributor.authorMortezaee, Marzieh
dc.contributor.authorAkgul, Ali
dc.contributor.authorEldin, Sayed M.
dc.date.accessioned2024-12-24T19:27:42Z
dc.date.available2024-12-24T19:27:42Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe transport of contaminants is a crucial environmental issue, and accurate modeling of this phenomenon is vital for developing effective strategies for its management. In this study, We introduce a non-integer model of the advection-dispersion problem arising in the transport of contaminants. The used derivative is described in the modified Atangana-Baleanu-Caputo (MABC) sense which is a new definition based on an extension of the Atangana and Baleanu derivatives. We employ discrete Chebyshev polynomials to gain the numerical solution of the considered equation. First, we generate a new operational matrix through discrete Chebyshev polynomials properties and proposed derivative. Next, via discrete Chebyshev polynomials and the operational matrix, we gain an algebraic system whose solutions are easily obtained. Finally, we solve some examples and compare the results with those obtained from other numerical methods to confirm the practicality and accuracy of the suggested scheme.
dc.identifier.doi10.1016/j.rinp.2023.106451
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85159289794
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2023.106451
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6742
dc.identifier.volume49
dc.identifier.wosWOS:000999344800001
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.subjectFractional advection-dispersion equation
dc.subjectModified Atangana-Baleanu-Caputo derivative
dc.subjectDiscrete Chebyshev polynomial
dc.subjectOperational matrix
dc.titleNumerical estimation of the fractional advection-dispersion equation under the modified Atangana-Baleanu-Caputo derivative
dc.typeArticle

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