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…
2020
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…
Announcement: Mihai Nechita has successfully defended his PhD thesis at UCL (London)
We are happy to announce that on Friday, September 25, 2020, our colleague Mihai Nechita has successfully defended his PhD…
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…
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…
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime
AbstractWe consider the numerical approximation of the ill-posed data assimilation problem for stationary convection–diffusion equations and extend our previous analysis…