Spectral methods in linear stability. Applications to thermal convection with variable gravity field

AbstractThe onset of convection in a horizontal layer of fluid heated from below in the presence of a gravity field…

On the numerical treatment of the eigenparameter dependent boundary conditions

AbstractIn this paper, we consider the numerical treatment of singular eigenvalue problems supplied with eigenparameter dependent boundary conditions using spectral…

Laguerre collocation solutions to boundary layer type problems

AbstractIn this paper a Laguerre collocation type method based on usual Laguerre functions is designed in order to solve high…

Pseudospectral solutions to some singular nonlinear BVPs. Applications in nonlinear mechanics

AbstractWe solve by Laguerre collocation method two second order genuinely nonlinear singularly perturbed boundary value problems and a fourth order…

Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems

AbstractIn numerous science and engineering applications a partial differential equation has to be solved on some fairly regular domain that…

Spectral collocation solutions to multiparameter Mathieu’s system

AbstractOur main aim is the accurate computation of a large number of specified eigenvalues and eigenvectors of Mathieu’s system as…

Stable spectral collocation solutions to a class of Benjamin Bona Mahony initial value problem

AbstractWe are concerned with stable spectral collocation solutions to non-periodic Benjamin Bona Mahony (BBM), modified BBM and Benjamin Bona Mahony-Burgers…

Accuracy of numerical simulations of contaminant transport in heterogeneous aquifers: A comparative study

AbstractThis work deals with a comparison of different numerical schemes for the simulation of contaminant transport in heterogeneous porous media.…

A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity

AbstractWe investigate a prototypical reaction–diffusion-flow problem in saturated/unsaturated porous media. The special features of our problem are twofold: the reaction produces…

Solution of a polylocal problem with a pseudospectral method

Abstract Consider the problem: \( y”(x) + f(x, y) = 0, \ \ x \in [0, 1], y(a) = \alpha,…