@inproceedings{200f05f7fe01436bb978c6aa3ac9cc43,
title = "An efficient numerical approach for studying certain types of nonlinear PDEs based on fourier spectral method",
abstract = "This research numerically studies the generalized Rosenau-regularized long-wave (GR-RLW) equation utilizing the Fourier spectral method for spatial discretization and the central finite difference method for time evolution. Three cases have been tested to determine the efficiency and accuracy, with error norms calculated for solitary wave motion. The conservation of momentum and energy was also examined, and the results were validated by comparing them to the exact solution, and the previous studies.",
author = "Alrzqi, \{Shumoua F.\} and Alrawajeh, \{Fatimah A.\} and Hassan, \{Hany N.\}",
note = "Publisher Copyright: {\textcopyright} 2026 Author(s).; International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2024 ; Conference date: 11-09-2024 Through 17-09-2024",
year = "2026",
month = may,
day = "7",
doi = "10.1063/5.0328330",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
number = "1",
editor = "Simos, \{Theodore E.\} and Charalambos Tsitouras",
booktitle = "AIP Conference Proceedings",
edition = "1",
}