fractional two-dimensional Oldroyd-B fluid Riemann-Liouville and Caputo fractional time derivatives L1 and L2-approximation of fractional derivatives alternating direction implicit compact scheme
Issue Date:
2015
Publisher:
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 25, No 1, (2015), 213p-224p
Abstract:
The two-dimensional Rayleigh-Stokes problem for a generalized Oldroyd-B fluid is considered in the present work. The fractional time derivatives
are discretized using L1 and L2 approximations. A fourth order compact
approximation is implemented for the space derivatives and two variants
of an alternating direction implicit finite difference scheme are numerically
investigated. 2010 Mathematics Subject Classification: 26A33, 35R11, 65M06, 65M22, 74D05.
