The spectral discretization of the second-order wave equation

Abdelwahed, Mohamed; Chorfi, Nejmeddine

doi:10.2478/auom-2022-0031

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.

References

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The spectral discretization of the second-order wave equation

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