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 ...

Sinc-Galerkin method based upon double exponential transformation for solving Troesch's problem was given in this study. Properties of the Sinc-Galerkin approach were utilized to reduce the solution of nonlinear two-point boundary value problem to same nonlinear algebraic equations, also, the matrix form of the nonlinear algebraic equations was obtained.The error bound of the method was found. ...

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 discuss a nonlinear approximation problem relevant to the approximation of data by radial-basis-function neural networks. The approximation is based on superpositions of translated Gaus-sians. The method used enables us to give explicit approximations and error bounds. New connections between this problem and sampling theory are exposed, but the method used departs r...

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...

Abstract : A popular technique for time delay estimation is to use an FIR filter to model the time difference and the filter weights are interpolated with a sinc function to obtain the delay estimate. However, the sinc interpolator requires a sufficiently long filter length for accurate delay estimation. In this paper, we propose to process the filter weights via a least squares based method in...

In this article we illustrate some novel procedures of using Sinc methods to compute solutions to three types of medical problems. The rst of these is a novel way to solve optimal control problems. the second is a novel way to reconstruct images for X-ray tomography, and the third is a novel way to do ultrasonic tomography inversion. Each of these procedures uses Sinc convolution, which is a no...

A novel printed antenna resembling a truncated SINC function is proposed for wireless communications. The proposed antenna functions either as a twisted dipole or two twisted back-to-back connected L-shape dipoles depending on the current mode. Due to the symmetry, the antenna supports an even or odd mode of current on the antenna and results in different design and performance considerations. ...