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The Efficient Finite Element Methods for Time-Fractional Oldroyd-B Fluid Model Involving Two Caputo Derivatives
College of Science, Guilin University of Technology, Guilin, 541004, China
* Corresponding Author: An Chen. Email:
Computer Modeling in Engineering & Sciences 2020, 125(1), 173-195. https://doi.org/10.32604/cmes.2020.011871
Received 02 June 2020; Accepted 10 August 2020; Issue published 18 September 2020
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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
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APA Style
Chen, A. (2020). The efficient finite element methods for time-fractional oldroyd-b fluid model involving two caputo derivatives. Computer Modeling in Engineering & Sciences, 125(1), 173-195. https://doi.org/10.32604/cmes.2020.011871
Vancouver Style
Chen A. The efficient finite element methods for time-fractional oldroyd-b fluid model involving two caputo derivatives. Comput Model Eng Sci. 2020;125(1):173-195 https://doi.org/10.32604/cmes.2020.011871
IEEE Style
A. Chen, “The Efficient Finite Element Methods for Time-Fractional Oldroyd-B Fluid Model Involving Two Caputo Derivatives,” Comput. Model. Eng. Sci., vol. 125, no. 1, pp. 173-195, 2020. https://doi.org/10.32604/cmes.2020.011871
Copyright © 2020 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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