An accurate computational method for two-dimensional (2D) fractional Rayleigh-Stokes problem for a heated generalized second grade fluid via linear barycentric interpolation method

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dc.contributor.authorOruc, Omer
dc.date.accessioned2024-04-24T16:10:59Z
dc.date.available2024-04-24T16:10:59Z
dc.date.issued2022
dc.departmentDicle Üniversitesien_US
dc.description.abstractThis paper deals with the development and analysis of an efficient method for the numerical solution of the two-dimensional (2D) fractional Rayleigh-Stokes problem for a heated generalized second grade fluid. The fractional time derivative that occurs in the problem is in the Riemann-Liouville sense and is discretized using a finite difference approach that is convergent with order of convergence O(tau(1+beta)) and unconditionally stable. After discretization of time variable, linear barycentric interpolation method is used to discretize space variables. In this way, a fully discrete scheme is obtained, which can be used to solve the problem numerically. The numerical solution is compared with exact solution to see how accurate it is. Also L-infinity error norm is reckoned and compared with those of other numerical methods in the literature to see performance of the method. Numerical simulations verify that the suggested method is accurate and workable for similar 2D fractional problems.en_US
dc.identifier.doi10.1016/j.camwa.2022.05.012
dc.identifier.endpage131en_US
dc.identifier.issn0898-1221
dc.identifier.issn1873-7668
dc.identifier.scopus2-s2.0-85132449709
dc.identifier.scopusqualityQ1
dc.identifier.startpage120en_US
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2022.05.012
dc.identifier.urihttps://hdl.handle.net/11468/15216
dc.identifier.volume118en_US
dc.identifier.wosWOS:000809815900006
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofComputers & Mathematics With Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject2d Fractional Rayleigh-Stokes Problemen_US
dc.subjectBarycentric Interpolation Methoden_US
dc.subjectFinite Differenceen_US
dc.subjectNumerical Solutionen_US
dc.titleAn accurate computational method for two-dimensional (2D) fractional Rayleigh-Stokes problem for a heated generalized second grade fluid via linear barycentric interpolation methoden_US
dc.titleAn accurate computational method for two-dimensional (2D) fractional Rayleigh-Stokes problem for a heated generalized second grade fluid via linear barycentric interpolation method
dc.typeArticleen_US

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