Nuclear magnetic resonance (NMR) allows for fast, accurate and noninvasive measurement of fluid flow in restricted and non-restricted media. The results of such measurements may be possible for a very small B 0 field and can be enhanced through detailed examination of generating functions that may arise from polynomial solutions of NMR flow equations in terms of Legendre polynomials and Boubake...

In this paper, we present a truncated version of the classical Fast Fourier Transform. When applied to polynomial multiplication, this algorithm has the nice property of eliminating the jumpss in the complexity at powers of two. When applied to the multiplication of multivariate polynomials or truncated multivariate power series, we gain a logarithmic factor with respect to the best previously ...

In this paper, operational matrix method based upon the Bernstein polynomials is proposed to solve the variable order fractional integro-differential equations in the Caputo derivative sense. We derive the Bernstein polynomials operational matrix of fractional order integration and introduce the product operational matrix of Bernstein polynomials. A truncated the Bernstein polynomials series to...

The aim of this paper is to provide an analytical solution to the non-linear Fredholm integral equation inside a symmetrical physical model. For this propose, a polynomial expansion method is proposed. The studied physical model is based on the concept of two circular coaxial conducting disks, separated by a fixed distance and held at equal or opposite potentials. The performed protocol is base...

In a previous paper [vdH04], we introduced a truncated version of the classical Fast Fourier Transform. When applied to polynomial multiplication, this algorithm has the nice property of eliminating the “jumps” in the complexity at powers of two. When applied to the multiplication of multivariate polynomials or truncated multivariate power series, a non-trivial asymptotic factor was gained with...

Tinggang Zhao Dept. of Math.,Lanzhou City University, Lanzhou 730070,P. R. CHINA B. K. Ben Mahmoud ESSTT/ 63 Rue Sidi Jabeur 5100 Mahdia, TUNISIA M. A. Toumi Dép. des Math.,Faculté des Sciences de Bizerte,7021, Zarzouna, Bizerte, TUNISIA O. P. Faromika Department of Physics, Federal Univ. of Technology, Akure, Ondo State, NIGERIA M. Dada Department of Physics, Federal Univ. of Technology, Minna...