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A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
Journal article   Peer reviewed

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

Mahmoud A. Zaky
Computational & applied mathematics, Vol.37(3), pp.3525-3538
01/07/2018

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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