Vol.125, No.1, 2020, pp.173-195, doi:10.32604/cmes.2020.011871
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ARTICLE
The Efficient Finite Element Methods for Time-Fractional Oldroyd-B Fluid Model Involving Two Caputo Derivatives
  • An Chen*
College of Science, Guilin University of Technology, Guilin, 541004, China
* Corresponding Author: An Chen. Email: chena@glut.edu.cn
Received 02 June 2020; Accepted 10 August 2020; Issue published 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.
Keywords
Oldroyd-B fluid model; caputo derivative; finite element method; convolution quadrature; error estimate; data regularity
Cite This Article
Chen, A. (2020). The Efficient Finite Element Methods for Time-Fractional Oldroyd-B Fluid Model Involving Two Caputo Derivatives. CMES-Computer Modeling in Engineering & Sciences, 125(1), 173–195.
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