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Computational and Applied Mathematics

, Volume 37, Issue 3, pp 3525–3538 | Cite as

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

  • Mahmoud A. Zaky
Article

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.

Keywords

Spectral tau method Multi-term time-fractional diffusion equation Caputo fractional derivative Convergence analysis 

Mathematics Subject Classification

65M70 34A08 33C45 11B83 

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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2017

Authors and Affiliations

  1. 1.Department of Applied MathematicsNational Research CentreGizaEgypt

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