TY  - EJOU
AU  - Chen, An 

TI  - The Efficient Finite Element Methods for Time-Fractional Oldroyd-B Fluid Model Involving Two Caputo Derivatives
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2020
VL  - 125
IS  - 1
SN  - 1526-1506

AB  - In this paper, we consider the numerical schemes for a timefractional Oldroyd-B fluid model involving the Caputo derivative. We propose
two efficient finite element methods by applying the convolution quadrature
in time generated by the backward Euler and the second-order backward
difference methods. Error estimates in terms of data regularity are established
for both the semidiscrete and fully discrete schemes. Numerical examples for
two-dimensional problems further confirm the robustness of the schemes with
first- and second-order accurate in time.
KW  - Oldroyd-B fluid model; caputo derivative; finite element method; convolution quadrature; error estimate; data regularity

DO  - 10.32604/cmes.2020.011871