## Accurate spectral collocation computations of high order eigenvalues for singular Schrödinger equations-revisited

AbstractIn this paper, we continue to solve as accurately as possible singular eigenvalues problems attached to the Schrödinger equation. We…

## Accurate spectral collocation solutions to 2nd-order Sturm–Liouville problems

AbstractThis work is about the use of some classical spectral collocation methods as well as with the new software system…

## Inequalities for Information Potentials and Entropies

AbstractWe consider a probability distribution $$(p_0(x), p_1(x), . . .)$$ depending on a real parameter $$x$$. The associated information potential…

## Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations

AbstractWe are concerned with the study of some classical spectral collocation methods, mainly Chebyshev and sinc as well as with…

## Spectral collocation solutions to second order singular Sturm-Liouville eigenproblems

AbstractWe comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the…

## Accurate spectral collocation solutions to some Bratu’s type boundary value problems

AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems…

## Existence and uniqueness of the solution for an integral equation with supremum

AbstractFollowing the idea of T. Wongyat and W. Sintunavarat, we obtain some existence and uniqueness results for the solution of…

## On the Burton method of progressive contractions for Volterra integral equations

AbstractIn the paper [4] the author give a new method to study the existence and uniqueness of a solution on…

## Spectral collocation based on quasi-classical orthogonal polynomials applied to solve a singular BVP from Hydrodynamics

AbstractIt is well established that spectral collocation methods based on classical orthogonal polynomials, in spite of their high order accuracy,…

## Testing Bose-Einstein condensate dark matter models with the SPARC galactic rotation curves data

AbstractThe nature of one of the fundamental components of the Universe, dark matter, is still unknown. One interesting possibility is…
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