Spectral solutions for diffusion equations of Riesz distributed-order space-fractional
A highly accurate collocation technique for diffusion equations of Riesz distributed-order space-fractional is consider. A mixed Gauss-Lobatto and Gauss-Radau Legendre collocation technique is introduced to solve the diffusion equations of Riesz distributed-order space-fractional. A full theoretical...
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Elsevier
2022
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oai:doaj.org-article:1ca221fed3444b4da581552e957d8c8b2021-11-18T04:45:50ZSpectral solutions for diffusion equations of Riesz distributed-order space-fractional1110-016810.1016/j.aej.2021.07.023https://doaj.org/article/1ca221fed3444b4da581552e957d8c8b2022-02-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S111001682100483Xhttps://doaj.org/toc/1110-0168A highly accurate collocation technique for diffusion equations of Riesz distributed-order space-fractional is consider. A mixed Gauss-Lobatto and Gauss-Radau Legendre collocation technique is introduced to solve the diffusion equations of Riesz distributed-order space-fractional. A full theoretical discussion is given and numerical tests are listed to light the fulfillment and eligibility of the technique. The reliability of our technique to treat the diffusion equations of Riesz distributed-order space-fractional is revealed.Mohamed A. AbdelkawyMohamed M. Al-ShomraniElsevierarticleQuadratureFractional derivativesRiesz space-fractional derivativeCollocation methodEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 2, Pp 1045-1054 (2022) |
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DOAJ |
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DOAJ |
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EN |
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Quadrature Fractional derivatives Riesz space-fractional derivative Collocation method Engineering (General). Civil engineering (General) TA1-2040 |
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Quadrature Fractional derivatives Riesz space-fractional derivative Collocation method Engineering (General). Civil engineering (General) TA1-2040 Mohamed A. Abdelkawy Mohamed M. Al-Shomrani Spectral solutions for diffusion equations of Riesz distributed-order space-fractional |
description |
A highly accurate collocation technique for diffusion equations of Riesz distributed-order space-fractional is consider. A mixed Gauss-Lobatto and Gauss-Radau Legendre collocation technique is introduced to solve the diffusion equations of Riesz distributed-order space-fractional. A full theoretical discussion is given and numerical tests are listed to light the fulfillment and eligibility of the technique. The reliability of our technique to treat the diffusion equations of Riesz distributed-order space-fractional is revealed. |
format |
article |
author |
Mohamed A. Abdelkawy Mohamed M. Al-Shomrani |
author_facet |
Mohamed A. Abdelkawy Mohamed M. Al-Shomrani |
author_sort |
Mohamed A. Abdelkawy |
title |
Spectral solutions for diffusion equations of Riesz distributed-order space-fractional |
title_short |
Spectral solutions for diffusion equations of Riesz distributed-order space-fractional |
title_full |
Spectral solutions for diffusion equations of Riesz distributed-order space-fractional |
title_fullStr |
Spectral solutions for diffusion equations of Riesz distributed-order space-fractional |
title_full_unstemmed |
Spectral solutions for diffusion equations of Riesz distributed-order space-fractional |
title_sort |
spectral solutions for diffusion equations of riesz distributed-order space-fractional |
publisher |
Elsevier |
publishDate |
2022 |
url |
https://doaj.org/article/1ca221fed3444b4da581552e957d8c8b |
work_keys_str_mv |
AT mohamedaabdelkawy spectralsolutionsfordiffusionequationsofrieszdistributedorderspacefractional AT mohamedmalshomrani spectralsolutionsfordiffusionequationsofrieszdistributedorderspacefractional |
_version_ |
1718425024628523008 |