Some Legendre spectral element/Laguerre spectral coupled methods are proposed to
numerically solve second-and fourth-order equations on the half line. The proposed …

We propose and analyse a class of fully discrete schemes for the Cahn-Hilliard equation
with Neumann boundary conditions. The schemes combine large-time step splitting …

A Legendre–Galerkin spectral-element method is proposed to solve the one-dimensional
fourth-order equations. C1-continuity between the elemental-faces is imposed by …

Waves are interesting phenomena with important practical applications. A wave is a
disturbance that propagates through space and time, usually with transference of energy …

In this paper we propose a spectral element vanishing viscosity (SEVV) method for the
conservation laws on the semi-infinite interval. By using a suitable mapping, the problem is …