The object of this paper is to develop an accurate combined spectral collocation approach to
numerically solve the generalized nonlinear Benjamin–Bona–Mahony–Burgers 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 …

The purpose of this work deals with the discretization of a second order linear wave
equation by the implicit Euler scheme in time and by the spectral elements method in space …

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 …

The aim of this work is to highlight that the adaptivity of the time step when combined with
the adaptivity of the spectral mesh is optimal for a semi-linear parabolic equation discretized …

This work focuses on discretizing a second-order linear wave equation using the implicit
Euler scheme for time discretization and the spectral element method for spatial …