In this work, we study the performance of the sinc-Collocation method for solving Bratu's problem. For different choices of step size, we consider the maximum absolute errors in the solutions at sinc grid points and tabulated in tables. The comparison of the obtained results veri ed that this method converges to the exact solution rapidly and with  

In this paper, Solvability nonlinear Volterra integral equations with general vanishing delays is stated. So far sinc methods for approximating the solutions of Volterra integral equations have received considerable attention mainly due to their high accuracy. These approximations converge rapidly to the exact solutions as number sinc points increases. Here the numerical solution of nonlinear d...

Abstract The purpose of this paper is the evaluation Fourier transform powers sinc function multiplied by monomials, also in cases when log terms arise. Such evaluations appear only rarely literature. Some old sources are hardly available. Because notations not use today, several original works difficult to read. We apply an approach J. H. Michell a variant G. Hardy integrals over and their tra...

The problem of digital signal and image resampling with discrete sinc interpolation is addressed. Discrete sine interpolation is theoretically the best one among the digital convolution-based signal resampling methods because it does not distort the signal as defined by its samples and is completely reversible. However, sinc interpolation is frequently not considered in applications because it ...

Basic math constants Derived from the basic ones ... from 0 and 1 ... from i ... from 1 and i ... from π ... from e ... from e and π ... from γ ... from Φ Named real math constants Other notable real constants Notable integer numbers Named/notable functions on N Named/notable integer sequences Related to Factorials Related to Hamming weight Related to Powers Related to Divisors Related to Aliqu...

We address the expected supremum of a linear combination of shifts of the sinc kernel with random coefficients. When the coefficients are Gaussian, the expected supremum is of order √ log n, where n is the number of shifts. When the coefficients are uniformly bounded, the expected supremum is of order log log n. This is a noteworthy difference to orthonormal functions on the unit interval, wher...

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...

A block matrix formulation is presented for the Sinc-Galerkin technique applied to the wind-driven current problem from oceanography. The block matrix form is used to determine an approximate solution for the coupled system of differential equations describing the wind-driven current problem. The approximate solution determined by this new Sinc-Galerkin scheme is compared to the approximate sol...

Congenic mouse strains VM/Dk and VM-Sincs7/Dk differ at the Sinc gene, which controls the incubation period of scrapie in mice; VM/Dk mice are Sincp7p7 and VM-Sincs7/Dk mice are Sincs7s7. Restriction fragment length polymorphism and DNA sequencing analysis demonstrated that the PrP genes also differ in these strains, confirming the close genetic linkage of Sinc and PrP. Using the restriction en...

We present a method to solve the Helmholtz equation for a non-homogeneous membrane with Dirichlet boundary conditions at the border of arbitrary two-dimensional domains. The method uses a collocation approach based on a set of localized functions, called ”little sinc functions”, which are used to discretize two-dimensional regions. We have performed extensive numerical tests and we have compare...