Spectral approximations for ODEs in unbounded domains have only received limited attention. In many applicable problems, singular initial value problems arise. In solving these problems, most of numerical methods have difficulties and often could not pass the singular point successfully. In this paper, we apply the sinc-collocation method for solving singular initial value problems. The ability...

A new algorithm is presented for solving Troesch’s problem. The numerical scheme based on the sinc-collocation technique is deduced. The equation is reduced to systems of nonlinear algebraic equations. Some numerical experiments are made. Compared with the modified homotopy perturbation technique (MHP), the variational iteration method and the Adomian decomposition method. It is shown that the ...

Some properties of sinc-approximations of continuous functions on a segment are studied. For the first time, the sinc-approximations arose in the work of Pleynet. Later, in connection with developments in signals coding theory, E. Borel and E. T. Whittaker introduced the notions of a cardinal function and a truncated cardinal function, the restriction of which to [0, π] looks like this:

in this paper, the sinc collocation method is proposed for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is recently presented by khalil, r., al horani, m., yousef, a. and sababeh, m. in a new definition of fractional derivative, j. comput. appl. math. 264 (2014), 65{70. the properties of sinc functions are ...

Up to now, no consensus exists about the electronic nature of phosphorus (P) as donor for SiO2-embedded silicon nanocrystals (SiNCs). Here, we report on hybrid density functional theory (h-DFT) calculations of P in the SiNC/SiO2 system matching our experimental findings. Relevant P configurations within SiNCs, at SiNC surfaces, within the sub-oxide interface shell and in the SiO2 matrix were ev...

A critical procedure in Synthetic Aperture Radar (SAR) Interferometric (InSAR) processing was studied: SAR image coregistration. Two pairs of ERS-1/2 SAR tandem data, representing diverse terrain types and different baselines, were used in this research. The commonly used traditional SAR image coregistration algorithms were addressed and tested; the computationally intensive algorithms were exa...

We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The is collocation which utilizes Poly-Sinc interpolation to reach preset level accuracy the approximation. Our work extends function approximation, we derived an priori error estimate our and showed its exponential convergence in number iterations. In this work, show iterations...

the aim of this paper is to present a new numerical method for solving the bagley-torvik equation. this equation has an important role in fractional calculus. the fractional derivatives are described based on the caputo sense. some properties of the sinc functions required for our subsequentdevelopment are given and are utilized to reduce the computation of solution of the bagley-torvik equatio...

A collocation procedure is developed for the initial value problem u′(t) = f(t, u(t)), u(0) = 0, using the globally defined sinc basis functions. It is shown that this sinc procedure converges to the solution at an exponential rate, i.e., O(M2 exp(−κ √ M)) where κ > 0 and 2M basis functions are used in the expansion. Problems on the domains R = (−∞,∞) and R+ = (0,∞) are used to illustrate the i...