The effects of doping bare silicon clusters with carbon on their physical properties are of fundamental interest for the chemistry of the interstellar medium and the development of novel nanostructures in materials science. Carbon-doped silicon clusters (SinC, n = 3-8) are characterized in the gas phase with infrared-ultraviolet two-color ionization (IR-UV2CI) spectroscopy, mass spectrometry, a...

MRI myocardial tagging offers a tremendous opportunity to quantitatively, serially and noninvasively examine the intramyocardial motion and deformation [l-51. The ideal presaturation or tagging stripe should be of rectangular intensity profile and controllable width with respect to the distance between adjacent stripes. Here we propose a sinc modulated RF pulse train that offers sharper-edged t...

Fifth order boundary value problem appears in the mathematical modelling of viscoelastic flows and other branches of mathematical, physical and engineering sciences [4, 5]. The conditions for the existence and uniqueness of the solution of such problems can be found in [6]. Gamel [2] analyzed Sinc-Galerkin method for the solution of fifth-order boundary value problems with two-point boundary co...

In this paper, a numerical solution of the modified regularized long wave (MRLW) equation is obtained using Sinc-collocation method. This approach approximates space dimension with cardinal expansion Sinc functions. First, discretizing time derivative MRLW by classic finite difference formula, while derivatives are approximated θ—weighted scheme. For comparison purposes, we also find soliton Ad...

We discuss a new approach to represent fractional operators by Sinc approximation using convolution integrals. A spin off of the convolution representation is an effective inverse Laplace transform. Several examples demonstrate the application of the method to different practical problems.

In our recent publications we have introduced the incomplete cosine expansion of the sinc function for efficient application in sampling [Abrarov & Quine, Appl. Math. Comput., 258 (2015) 425-435; Abrarov & Quine, J. Math. Research, 7 (2) (2015) 163-174]. Here we show that it can also be utilized as a flexible and efficient tool in mathematical analysis. In particular, an application of the inco...