Numerical Analysis

On the Chebyshev-tau approximation for some singularly perturbed two point boundary value problems – Numerical experiments

7 years ago

AbstractIn this paper we are concerned with numerical stability of Chebyshev-tau method in solving some singularly perturbed two-point boundary value…

A unified treatment of boundary layer and lubrication approximations in viscous fluid mechanics

7 years ago

AbstractIt is a matter of every day experience to find the boundary layer and lubrication approximations exposed as if they…

Spectral collocation solutions to systems of boundary layer type

7 years ago

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

7 years ago

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

7 years ago

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

7 years ago

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

7 years ago

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

7 years ago

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

7 years ago

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

7 years ago

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

Numerical Analysis

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