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A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation. / Abbaszadeh, Mostafa; Zaky, Mahmoud A.; Hendy, Ahmed S. et al.
In: Applied Numerical Mathematics, Vol. 187, 2023, p. 262-276.

Research output: Contribution to journal › Article › peer-review

Harvard

Abbaszadeh, M, Zaky, MA, Hendy, AS & Dehghan, M 2023, 'A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation', Applied Numerical Mathematics, vol. 187, pp. 262-276. https://doi.org/10.1016/j.apnum.2023.02.014

APA

Abbaszadeh, M., Zaky, M. A., Hendy, A. S., & Dehghan, M. (2023). A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation. Applied Numerical Mathematics, 187, 262-276. https://doi.org/10.1016/j.apnum.2023.02.014

Vancouver

Abbaszadeh M, Zaky MA, Hendy AS, Dehghan M. A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation. Applied Numerical Mathematics. 2023;187:262-276. doi: 10.1016/j.apnum.2023.02.014

Author

Abbaszadeh, Mostafa ; Zaky, Mahmoud A. ; Hendy, Ahmed S. et al. / A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation. In: Applied Numerical Mathematics. 2023 ; Vol. 187. pp. 262-276.

BibTeX

@article{35d79a4c41b84908b1a4637ab46f8adb,
title = "A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation",
abstract = "A numerical formulation with second-order accuracy in the time direction and spectral accuracy in the space variable is proposed for solving a nonlinear high-dimensional Rosenau-Burgers equation. We show how the spectral element method and the two-grid idea can be used together. The two-grid idea is combined with the spectral element method for simulating the nonlinear high-dimensional Rosenau-Burgers' equation. The proposed technique is based on the three-level algorithm. The existence and uniqueness of the solutions to Steps 1, 2, and 3 are investigated and also the error analysis is discussed. {\textcopyright} 2023 IMACS.",
author = "Mostafa Abbaszadeh and Zaky, {Mahmoud A.} and Hendy, {Ahmed S.} and Mehdi Dehghan",
note = "We would also like to show our gratitude to the reviewers whose comments and suggestions really improved our paper. A. S. Hendy wishes to acknowledge the support of the RSF , Russia grant, project 22-21-00075.",
year = "2023",
doi = "10.1016/j.apnum.2023.02.014",
language = "English",
volume = "187",
pages = "262--276",
journal = "Applied Numerical Mathematics",
issn = "0168-9274",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation

AU - Abbaszadeh, Mostafa

AU - Zaky, Mahmoud A.

AU - Hendy, Ahmed S.

AU - Dehghan, Mehdi

N1 - We would also like to show our gratitude to the reviewers whose comments and suggestions really improved our paper. A. S. Hendy wishes to acknowledge the support of the RSF , Russia grant, project 22-21-00075.

PY - 2023

Y1 - 2023

N2 - A numerical formulation with second-order accuracy in the time direction and spectral accuracy in the space variable is proposed for solving a nonlinear high-dimensional Rosenau-Burgers equation. We show how the spectral element method and the two-grid idea can be used together. The two-grid idea is combined with the spectral element method for simulating the nonlinear high-dimensional Rosenau-Burgers' equation. The proposed technique is based on the three-level algorithm. The existence and uniqueness of the solutions to Steps 1, 2, and 3 are investigated and also the error analysis is discussed. © 2023 IMACS.

AB - A numerical formulation with second-order accuracy in the time direction and spectral accuracy in the space variable is proposed for solving a nonlinear high-dimensional Rosenau-Burgers equation. We show how the spectral element method and the two-grid idea can be used together. The two-grid idea is combined with the spectral element method for simulating the nonlinear high-dimensional Rosenau-Burgers' equation. The proposed technique is based on the three-level algorithm. The existence and uniqueness of the solutions to Steps 1, 2, and 3 are investigated and also the error analysis is discussed. © 2023 IMACS.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85150390601

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000951370900001

U2 - 10.1016/j.apnum.2023.02.014

DO - 10.1016/j.apnum.2023.02.014

M3 - Article

VL - 187

SP - 262

EP - 276

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

SN - 0168-9274

ER -

ID: 36039418