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The spectral discretization of the second-order wave equation
Journal article   Peer reviewed

The spectral discretization of the second-order wave equation

Mohamed Abdelwahed and Nejmeddine Chorfi
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, Vol.30(3), pp.5-20
01/09/2022
DOI: https://doi.org/10.2478/auom-2022-0031

Abstract

a priori analysis error estimate implicit Euler scheme Primary 35Q35 Secondary 65M12 spectral discretization 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 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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