<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

The spectral discretization of the second-order wave equation

Department of Mathematics, College of Science

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"The spectral discretization of the second-order wave equation"}

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...

The spectral discretization of the second-order wave equation

Publié en ligne: 08 oct. 2022

Pages: 5 - 20

Reçu: 12 nov. 2021

Accepté: 25 janv. 2022

DOI: https://doi.org/10.2478/auom-2022-0031

Mots clés
Wave equation, implicit Euler scheme, spectral discretization, a priori analysis, error estimate

© 2022 Mohamed Abdelwahed et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The spectral discretization of the second-order wave equation

Publié en ligne: 08 oct. 2022

Pages: 5 - 20

Reçu: 12 nov. 2021

Accepté: 25 janv. 2022

DOI: https://doi.org/10.2478/auom-2022-0031

Mots clésWave equation, implicit Euler scheme, spectral discretization, a priori analysis, error estimate

© 2022 Mohamed Abdelwahed et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Wave equation, implicit Euler scheme, spectral discretization, a priori analysis, error estimate