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Numerical resolution of the wave equation using the spectral method
Journal article   Open access  Peer reviewed

Numerical resolution of the wave equation using the spectral method

Mohamed Abdelwahed and Nejmeddine Chorfi
Boundary value problems, Vol.2022(1), pp.1-15
31/03/2022
DOI: https://doi.org/10.1186/s13661-022-01601-5

Abstract

Analysis Approximations and Expansions Difference and Functional Equations general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Partial Differential Equations in Applied Sciences
We present a new procedure for the numerical study of the wave equation. We use the spectral discretization method associated with the Euler scheme for spatial and temporal discretization. A detailed numerical analysis leads to an a priori error estimate. We confirm the high precision of the method presented by a numerical study.
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https://doi.org/10.1186/s13661-022-01601-5View
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