@Article{cmes.2020.011871,
AUTHOR = {An Chen},
TITLE = {The Efficient Finite Element Methods for Time-Fractional Oldroyd-B Fluid Model Involving Two Caputo Derivatives},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {125},
YEAR = {2020},
NUMBER = {1},
PAGES = {173--195},
URL = {http://www.techscience.com/CMES/v125n1/40210},
ISSN = {1526-1506},
ABSTRACT = {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.},
DOI = {10.32604/cmes.2020.011871}
}