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

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.

Authors:
 [1]
  1. National Research Centre, Department of Applied Mathematics (Egypt)
Publication Date:
OSTI Identifier:
22769270
Resource Type:
Journal Article
Journal Name:
Computational and Applied Mathematics
Additional Journal Information:
Journal Volume: 37; Journal Issue: 3; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0101-8205
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CONVERGENCE; DIFFUSION EQUATIONS; ERRORS; MATHEMATICAL SOLUTIONS; QUADRATURES

Citation Formats

Zaky, Mahmoud A., E-mail: ma.zaky@yahoo.com. A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations. United States: N. p., 2018. Web. doi:10.1007/S40314-017-0530-1.
Zaky, Mahmoud A., E-mail: ma.zaky@yahoo.com. A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations. United States. doi:10.1007/S40314-017-0530-1.
Zaky, Mahmoud A., E-mail: ma.zaky@yahoo.com. Sun . "A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations". United States. doi:10.1007/S40314-017-0530-1.
@article{osti_22769270,
title = {A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations},
author = {Zaky, Mahmoud A., E-mail: ma.zaky@yahoo.com},
abstractNote = {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.},
doi = {10.1007/S40314-017-0530-1},
journal = {Computational and Applied Mathematics},
issn = {0101-8205},
number = 3,
volume = 37,
place = {United States},
year = {2018},
month = {7}
}