The spectral discretization of the second-order wave equation
und
08. Okt. 2022
Über diesen Artikel
Online veröffentlicht: 08. Okt. 2022
Seitenbereich: 5 - 20
Eingereicht: 12. Nov. 2021
Akzeptiert: 25. Jan. 2022
DOI: https://doi.org/10.2478/auom-2022-0031
Schlüsselwörter
© 2022 Mohamed Abdelwahed et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In this paper we deal with the discretization of the second order wave equation by the implicit Euler scheme for the time and the spectral method for the space. We prove that the time semi discrete and the full discrete problems are well posed. We show an optimal error estimates related to both variables time and space.