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 ...

Oversampled functions can be evaluated using generalized sinc-series and filter functions connected with these series. A standard filter function is given by exp((ξ2 − 1)−1). We show that the Fourier transform of this filter posseses the convergence order O(exp(−√x)), improving an estimation given in [10]. Moreover, we define a family of filter functions with convergence order O(x · exp(−xσ)) w...

Abstract In this paper, a nonclassical sinc collocation method is constructed for the numerical solution of systems second-order integro-differential equations Volterra and Fredholm types. The novelty approach based on using new weight function instead classic ones. functions used to reduce system algebraic equations. Furthermore, convergence proposed theoretically, showing that converges expon...

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 ...

Measurement and modeling of the inf luence function plays a vital role in assessing the performance of the continuous MEMS deformable mirror (DM) for adaptive optics applications. The influence function is represented in terms of Zernike polynomials and shown that the dominant modes for representation of central actuators of the DM are different from those for the edge actuators. In this paper,...

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...

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...