A Conservative Scheme with Optimal Error Estimates for a Multidimensional Space–Fractional Gross–Pitaevskii Equation Cover

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A Conservative Scheme with Optimal Error Estimates for a Multidimensional Space–Fractional Gross–Pitaevskii Equation

International Journal of Applied Mathematics and Computer Science

Volume 29 (2019): Issue 4 (December 2019)

By: Ahmed S. Hendy and Jorge E. Macías-Díaz

Open Access

|Dec 2019

Authors

Ahmed S. Hendy

ahmed.hendy@fsc.bu.edu.eg

Department of Computational Mathematics and Computer Science, Ural Federal University, Yekaterinburg

Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

Jorge E. Macías-Díaz

jemacias@correo.uaa.mx

Department of Mathematics and Physics Autonomous, University of Aguascalientes, Aguascalientes, Mexico

DOI: https://doi.org/10.2478/amcs-2019-0053 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 713 - 723

Submitted on: Jan 15, 2019

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Accepted on: May 28, 2019

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Published on: Dec 31, 2019

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

generalized Gross–Pitaevskii system,

Riesz fractional diffusion,

discrete uniform Sobolev inequality,

conservative method,

optimal error bounds

Related subjects:

Applied mathematics

© 2019 Ahmed S. Hendy, Jorge E. Macías-Díaz, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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