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Engineering with Computers
Erschienen in: Engineering with Computers 3/2017

11.10.2016 | Original Article

A finite element method for the numerical solution of Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives

verfasst von: Mehdi Dehghan, Mostafa Abbaszadeh

Erschienen in: Engineering with Computers | Ausgabe 3/2017

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Abstract

Our main aim in the current paper is to find a numerical plan for 2D Rayleigh–Stokes model with fractional derivative on irregular domains such as circular, L-shaped and a unit square with a circular and square hole. The employed fractional derivative is the Riemann–Liouville sense. Also, by integrating the equation corresponding to the time variable and then using the Galerkin FEM for the space direction, we obtain a full discrete scheme. The unconditional stability and the convergence estimate of the new scheme have been concluded. Finally, we evaluate results of Galerkin FEM with other numerical methods.
Vorheriger Artikel Global optimization method using ensemble of metamodels based on fuzzy clustering for design space reduction
Nächster Artikel Energy conservation and power bonds in co-simulations: non-iterative adaptive step size control and error estimation

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Metadaten
Titel
A finite element method for the numerical solution of Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives
verfasst von
Mehdi Dehghan
Mostafa Abbaszadeh
Publikationsdatum
11.10.2016
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 3/2017
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-016-0491-9

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