TY - JOUR
T1 - A Numerical Method for the Time Fractional Model of Generalised Second Grade Fluid Through Porous Media
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 809
EP - 833
PY - 2018
DA - 2018/10
SN - 8
DO - http://doi.org/10.4208/eajam.0704218.070518 
UR - https://global-sci.org/intro/article_detail/eajam/12820.html
KW - Time fractional fluid equation, finite difference, spectral method, stability, convergence.
AB - <p style="text-align: justify;">A numerical method for the generalised second grade fluid through porous
media with anomalous diffusion is considered. The method is based on a combination
of finite differences in time and a spectral method in space directions. The convergence
of the method is rigorously proved and theoretical error estimates are established. The
numerical scheme is unconditionally stable and provides a high accuracy if the solution
is smooth enough. The results of numerical simulations are consistent with theoretical
findings.</p>