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High-order compact scheme for the two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid.
- Source :
-
Advances in Difference Equations . 5/24/2020, Vol. 2020 Issue 1, p1-21. 21p. - Publication Year :
- 2020
-
Abstract
- In this article, an unconditionally stable compact high-order iterative finite difference scheme is developed on solving the two-dimensional fractional Rayleigh–Stokes equation. A relationship between the Riemann–Liouville (R–L) and Grunwald–Letnikov (G–L) fractional derivatives is used for the time-fractional derivative, and a fourth-order compact Crank–Nicolson approximation is applied for the space derivative to produce a high-order compact scheme. The stability and convergence for the proposed method will be proven; the proposed method will be shown to have the order of convergence O (τ + h 4) . Finally, numerical examples are provided to show the high accuracy solutions of the proposed scheme. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE differences
*STOKES flow
*STOKES equations
*COMPACTING
Subjects
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2020
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 143396138
- Full Text :
- https://doi.org/10.1186/s13662-020-02689-8