An Chen*
CMES-Computer Modeling in Engineering & Sciences, Vol.125, No.1, pp. 173-195, 2020, DOI:10.32604/cmes.2020.011871
- 18 September 2020
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. More >