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…
paper
Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations
AbstractWe are concerned with the study of some classical spectral collocation methods as well as with the new software system…
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…
Qualitative properties of solutions for mixed type functional-differential equations with maxima
AbstractIn this paper we study some properties of the solutions of a second order system of functional-differential equations with maxima,…
Inequalities for indices of coincidence and entropies
AbstractWe consider a probability distribution depending on a real parameter x. As functions of x, the Renyi entropy and the…
Iterates of Cheney-Sharma type operators on a triangle with curved side
AbstractWe consider some Cheney-Sharma type operators as well as their product and Boolean sum for a function defined on a…
Publications
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 eigenpairs of second order singular Sturm-Liouville problems with separated self-adjoint…
Read More Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations
AbstractWe are concerned with the study of some classical spectral collocation methods as well as with the new software system Chebfun in computing high order eigenpairs of singular and regular…
Read More 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 are formulated on the square domain [−1, 1] × [−1,…
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