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Keywords = RSP-HGSGF

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14 pages, 1358 KB  
Article
An Implicit Numerical Approach for 2D Rayleigh Stokes Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative
by Anam Naz, Umair Ali, Ashraf Elfasakhany, Khadiga Ahmed Ismail, Abdullah G. Al-Sehemi and Ahmed A. Al-Ghamdi
Fractal Fract. 2021, 5(4), 283; https://doi.org/10.3390/fractalfract5040283 - 20 Dec 2021
Cited by 6 | Viewed by 3024
Abstract
In this research work, our aim is to use the fast algorithm to solve the Rayleigh–Stokes problem for heated generalized second-grade fluid (RSP-HGSGF) involving Riemann–Liouville time fractional derivative. We suggest the modified implicit scheme formulated in the Riemann–Liouville integral sense and the scheme [...] Read more.
In this research work, our aim is to use the fast algorithm to solve the Rayleigh–Stokes problem for heated generalized second-grade fluid (RSP-HGSGF) involving Riemann–Liouville time fractional derivative. We suggest the modified implicit scheme formulated in the Riemann–Liouville integral sense and the scheme can be applied to the fractional RSP-HGSGF. Numerical experiments will be conducted, to show that the scheme is stress-free to implement, and the outcomes reveal the ideal execution of the suggested technique. The Fourier series will be used to examine the proposed scheme stability and convergence. The technique is stable, and the approximation solution converges to the exact result. To demonstrate the applicability and viability of the suggested strategy, a numerical demonstration will be provided. Full article
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