## Spectral collocation solutions to systems of boundary layer type

AbstractThree spectral collocation methods, namely Laguerre collocation (LC), Laguerre Gauss Radau collocation (LGRC) and mapped Chebyshev collocation (ChC) are used…

## All roots spectral methods: Constraints, floating point arithmetic and root exclusion

Abstract The nonlinear two-point boundary value problem (TPBVP for short) $u_{xx}+u^{3}=0,\quad u(0)=u(1)=0,$ offers several insights into spectral methods. First, it…

## 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…

## Analytical and numerical solutions to an electrohydrodynamic stability problem

AbstractA linear hydrodynamic stability problem corresponding to an electrohydrodynamic convection between two parallel walls is considered. The problem is an…

## 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…