Subdiffusion model with time-dependent diffusion coefficient : Integral-balance solution and analysis

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creativework.keywordsApproximate solutions, Integral-balance method, Time-dependent diffusivity, Time-fractional diffusion
creativework.publisherSerbian Society of Heat Transfer Engineersen
dc.contributor.authorHristov J.
dc.date.accessioned2024-07-10T14:27:04Z
dc.date.accessioned2024-07-10T14:48:37Z
dc.date.available2024-07-10T14:27:04Z
dc.date.available2024-07-10T14:48:37Z
dc.date.issued2017-01-01
dc.description.abstractThe paper addresses approximate integral-balance approach to a time-fractional diffusion equation of order 0 < μ < 1 with a time-dependent diffusion coefficient of power-law type D(t) = D0tβ where 0 < β < 1. The form of the solution spreading in a semi-infinite medium through an analysis of the second moment of the approximate solution reveals that depending on the sum μ + β the solution can model subdiffusive (μ + β < 1), superdiffusive (μ + β > 1), or Gaussian (μ + β = 1) process of transport. The optimal exponents of the approximate parabolic profiles have been determined by minimization the mean squared error of approximation over the penetration depth.
dc.identifier.doi10.2298/TSCI160427247H
dc.identifier.issn0354-9836
dc.identifier.scopusSCOPUS_ID:85015621310en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/423
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85015621310&origin=inward
dc.titleSubdiffusion model with time-dependent diffusion coefficient : Integral-balance solution and analysis
dc.typeArticle
oaire.citation.volume21
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