Analysis and numerical approximation of the fractional-order two-dimensional diffusion-wave equation

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dc.authoridHassan, Ahmed/0000-0002-1369-326X
dc.authoridFaridoon, Muhammad Naeem/0000-0003-4755-9381
dc.contributor.authorRafaqat, Kanza
dc.contributor.authorNaeem, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorHassan, Ahmed M.
dc.contributor.authorAbdullah, Farah Aini
dc.contributor.authorAli, Umair
dc.date.accessioned2024-12-24T19:31:05Z
dc.date.available2024-12-24T19:31:05Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractNon-local fractional derivatives are generally more effective in mimicking real-world phenomena and offer more precise representations of physical entities, such as the oscillation of earthquakes and the behavior of polymers. This study aims to solve the 2D fractional-order diffusion-wave equation using the Riemann-Liouville time-fractional derivative. The fractional-order diffusion-wave equation is solved using the modified implicit approach based on the Riemann-Liouville integral sense. The theoretical analysis is investigated for the suggested scheme, such as stability, consistency, and convergence, by using Fourier series analysis. The scheme is shown to be unconditionally stable, and the approximate solution is consistent and convergent to the exact result. A numerical example is provided to demonstrate that the technique is more workable and feasible.
dc.description.sponsorshipThe authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work under grant code 22UQU4310396DSR68. [22UQU4310396DSR68]; Deanship of Scientific Research at Umm Al-Qura University
dc.description.sponsorshipThe authors would like to thank the referee for the valuable comments.r The authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work under grant code 22UQU4310396DSR68.
dc.identifier.doi10.3389/fphy.2023.1199665
dc.identifier.issn2296-424X
dc.identifier.scopus2-s2.0-85173557994
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3389/fphy.2023.1199665
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7810
dc.identifier.volume11
dc.identifier.wosWOS:001075867000001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherFrontiers Media Sa
dc.relation.ispartofFrontiers in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectfractional-order diffusion-wave equation
dc.subjectimplicit scheme
dc.subjectRiemann-Liouville fractional integral operator
dc.subjectstability
dc.subjectconsistency
dc.subjectconvergence
dc.titleAnalysis and numerical approximation of the fractional-order two-dimensional diffusion-wave equation
dc.typeArticle

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