Integral equations play an important role for their applications in practical engineering and applied science, nonlinear Urysohn integral can be when solving many problems physics, potential theory electrostatics, engineering, economics. The aim of this paper is the use spline quasi-interpolating operators space splines degree d class Cd−1 on uniform partitions a bounded interval numerical solu...

In this paper we tackle on mixed Volterra–Fredholm integral equations, as in linear as in non linear cases. To the aim to obtain numerical solutions of these models, the authors propose in the linear case the direct collocation method using a p-order quasi interpolating spline class and in the nonlinear case the fixed point method based on polynomial approximation built by Schauder tensor bases...

In many applications, real phenomena are modeled by differential problems having a time fractional derivative that depends on the history of unknown function. For numerical solution equations, we propose new method combines spline quasi-interpolatory operators and collocation methods. We show is convergent reproduces polynomials suitable degree. The tests demonstrate validity applicability prop...

We show how to construct stable quasi-interpolation schemes in the bivariate spline spaces S r d (4) with d 3r+2 which achieve optimal approximation order. In addition to treating the usual max norm, we also give results in the L p norms, and show that the methods also approximate derivatives to optimal order. We pay special attention to the approximation constants, and show that they depend on...

A non-quasi-static compact model well suited for the simulation of electrical behavior printed organic thin-film transistors (OTFTs) is proposed and validated. The based on discretization current continuity equation by using a spline collocation approach while transport in semiconductor described variable range hopping theory. accounts presence parasitic regions that are often found layouts OTF...

introduction 3d reconstruction of an object from its 2d cross-sections (slices) has many applications in different fields of sciences such as medical physics and biomedical engineering. in order to perform 3d reconstruction, at first, desired boundaries at each slice are detected and then using a correspondence between points of successive slices surface of desired object is reconstructed. mate...

We lay out a new approach to solving the two–center Dirac eigenvalue problem. It is based on application of B–spline basis sets constructed in Cassini coordinates. The approach provides a very promising way for the theoretical description of various atomic processes such as charge transfer, excitation, ionization and electron–positron pair production, that accompany slow collisions of heavy ion...

Given a B-spline M on R, s≥ 1 we consider a classical discrete quasi-interpolant Qd written in the form Qdf = ∑ i∈Zs f (i)L(· − i), where L(x) :=∑ j∈JcjM(x− j) for some finite subset J ⊂ Z and cj ∈R. This fundamental function is determined to produce a quasi-interpolation operator exact on the space of polynomials of maximal total degree included in the space spanned by the integer translates o...