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A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations

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Abstract

In this study, a Legendre spectral tau method is revisited to handle the multi-term time-fractional diffusion equations (MTT-FDEs). An error estimate and rigorous convergence analysis are carried out using some critical theorems. The applicability and accuracy of the solution method are demonstrated by a numerical example to verify the theoretical analysis.

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Authors and Affiliations

  1. Department of Applied Mathematics, National Research Centre, Dokki, Giza, 12622, Egypt

    Mahmoud A. Zaky

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  1. Mahmoud A. Zaky
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Correspondence to Mahmoud A. Zaky.

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Communicated by José Tenreiro Machado.

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Zaky, M.A. A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations. Comp. Appl. Math. 37, 3525–3538 (2018). https://doi.org/10.1007/s40314-017-0530-1

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