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Analytical and numerical solutions of a multi-term time-fractional Burgers’ fluid model

Author

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  • Zhang, Jinghua
  • Liu, Fawang
  • Lin, Zeng
  • Anh, Vo

Abstract

In this paper, we consider a multi-term time-fractional Burgers’ fluid model (MT-TFBFM). The analytical solution of MT-TFBFM is obtained by the method of separation of variables. We present a unified numerical scheme by virtue of the weighted shifted Grünwald difference (WSGD) scheme in time and Legendre spectral method in space. Especially, the corrected weighted shifted Grünwald difference (CWSGD) scheme is utilized to improve the convergence accuracy. Three examples are given to illustrate the stability, accuracy and effectiveness of the proposed numerical scheme.

Suggested Citation

  • Zhang, Jinghua & Liu, Fawang & Lin, Zeng & Anh, Vo, 2019. "Analytical and numerical solutions of a multi-term time-fractional Burgers’ fluid model," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 1-12.
    • Handle: RePEc:eee:apmaco:v:356:y:2019:i:c:p:1-12
    DOI: 10.1016/j.amc.2019.02.079
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    References listed on IDEAS

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    1. M. Subhas Abel & Jagadish V. Tawade & Jyoti N. Shinde, 2012. "The Effects of MHD Flow and Heat Transfer for the UCM Fluid over a Stretching Surface in Presence of Thermal Radiation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Li, Changpin & Li, Dongxia & Wang, Zhen, 2021. "L1/LDG method for the generalized time-fractional Burgers equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 357-378.
    2. Sarita Nandal & Mahmoud A. Zaky & Rob H. De Staelen & Ahmed S. Hendy, 2021. "Numerical Simulation for a Multidimensional Fourth-Order Nonlinear Fractional Subdiffusion Model with Time Delay," Mathematics, MDPI, vol. 9(23), pages 1-15, November.

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