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Computational analysis of time-fractional models in energy infrastructure applications

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dc.citedby14
dc.contributor.authorAhmad I.en_US
dc.contributor.authorBakar A.A.en_US
dc.contributor.authorAli I.en_US
dc.contributor.authorHaq S.en_US
dc.contributor.authorYussof S.en_US
dc.contributor.authorAli A.H.en_US
dc.contributor.authorid57220824630en_US
dc.contributor.authorid35178991300en_US
dc.contributor.authorid57211855967en_US
dc.contributor.authorid24168162900en_US
dc.contributor.authorid16023225600en_US
dc.contributor.authorid57694581900en_US
dc.date.accessioned2024-10-14T03:17:42Z
dc.date.available2024-10-14T03:17:42Z
dc.date.issued2023
dc.description.abstractIn this paper, we propose an effective numerical method to solve the one- and two-dimensional time-fractional convection-diffusion equations based on the Caputo derivative. The presented approach employs a hybrid method that combines Lucas and Fibonacci polynomials with the Caputo derivative definition. The main objective is to transform the problem into a time-discrete form utilizing the Caputo derivative technique and then approximate the function's derivative using Fibonacci polynomials. To evaluate the efficiency and accuracy of the proposed technique, we apply it to one- and two-dimensional problems and compare the results with the exact as well as with existing methods in recent literature. The comparison demonstrates that the proposed approach is highly efficient, accurate and ease to implement. � 2023 The Author(s)en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1016/j.aej.2023.09.057
dc.identifier.epage436
dc.identifier.scopus2-s2.0-85174721651
dc.identifier.spage426
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85174721651&doi=10.1016%2fj.aej.2023.09.057&partnerID=40&md5=d8500884aa4d9b07c42c2088fc189b48
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/34026
dc.identifier.volume82
dc.pagecount10
dc.publisherElsevier B.V.en_US
dc.relation.ispartofAll Open Access
dc.relation.ispartofGold Open Access
dc.sourceScopus
dc.sourcetitleAlexandria Engineering Journal
dc.subjectCaputo derivative
dc.subjectConvection-diffusion equation
dc.subjectEnergy infrastructure
dc.subjectFibonacci polynomials
dc.subjectFinite differences
dc.subjectLucas polynomials
dc.subjectDiffusion in liquids
dc.subjectHeat convection
dc.subjectPartial differential equations
dc.subjectPolynomials
dc.subjectCaputo derivatives
dc.subjectComputational analysis
dc.subjectConvection-diffusion equations
dc.subjectEnergy infrastructures
dc.subjectFibonacci polynomials
dc.subjectFinite difference
dc.subjectFractional model
dc.subjectInfrastructure applications
dc.subjectLuca polynomial
dc.subjectOne-dimensional
dc.subjectNumerical methods
dc.titleComputational analysis of time-fractional models in energy infrastructure applicationsen_US
dc.typeArticleen_US
dspace.entity.typePublication
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