The spectral discretization of the second-order wave equation

Autor: Abdelwahed Mohamed, Chorfi Nejmeddine
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 3, Pp 5-20 (2022)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.2478/auom-2022-0031
Popis: 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.
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