Results 91 to 100 of about 13,679 (194)

Calculator of some special mathematical functions [PDF]

open access: yesSerbian Journal of Electrical Engineering
This paper presents the implementation of a calculator of certain special mathematical functions in the form of an efficient web application with a simple and intuitive GUI (graphical user interface).
Lazić Sara, Iričanin Bratislav
doaj   +1 more source

Heat transfer from convecting-radiating fin through optimized Chebyshev polynomials with interior point algorithm

open access: yesNonlinear Engineering, 2019
In this paper, the problem of determining heat transfer from convecting-radiating fin of triangular and concave parabolic shapes is investigated.We consider one-dimensional, steady conduction in the fin and neglect radiative exchange between adjacent ...
Shivanian Elyas   +2 more
doaj   +1 more source

Binomials transformation formulae for scaled Fibonacci numbers

open access: yesOpen Mathematics, 2017
The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined
Hetmaniok Edyta   +2 more
doaj   +1 more source

Approximation by Nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes

open access: yesJournal of Numerical Analysis and Approximation Theory, 2010
The aim of this note is that by using the so-called max-product method, to associate to the Hermite-Fejer polynomials based on the Chebyshev knots of first kind, a new interpolation operator for which a Jackson-type approximation order in terms of ...
Lucian Coroianu, Sorin G. Gal
doaj   +2 more sources

Generalized Chebyshev Polynomials

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
doaj   +1 more source

Sobolev orthogonal polynomials, associated with the Chebyshev polynomials of the first kind [PDF]

open access: yesDaghestan Electronic Mathematical Reports, 2015
Idris Sharapudinov   +2 more
openaire   +1 more source

Chebyshev-Fourier Spectral Methods for Nonperiodic Boundary Value Problems

open access: yesJournal of Applied Mathematics, 2014
A new class of spectral methods for solving two-point boundary value problems for linear ordinary differential equations is presented in the paper. Although these methods are based on trigonometric functions, they can be used for solving periodic as well
Bojan Orel, Andrej Perne
doaj   +1 more source

Spectral algorithm for fractional BVPs via novel modified Chebyshev polynomials fractional derivatives

open access: yesMathematical Modelling and Analysis
This paper introduces a spectral algorithm tailored for solving fractional boundary value problems (BVPs) using the fractional derivatives of modified Chebyshev polynomials.
Mohamed Abdelhakem   +3 more
doaj   +1 more source

Numerical Solution of the Neutron Transport Equation Using SN Method with the First Kind of Chebyshev Polynomials

open access: yesCumhuriyet Science Journal, 2016
Abstract. The numerical solution of the neutron transport equation for one-speed neutrons in a finite homogeneous slab is investigated. The neutrons are assumed to be scattered isotropically through the medium involving constant isotropic source. The stationary transport equation is first written in the form of discrete ordinates and then it is solved ...
openaire   +2 more sources

On the accuracy and stability of algorithms most commonly used in the evaluation of Chebyshev polynomials of the first kind

open access: yes, 2013
This paper provides error analyses of the algorithms most commonly used for the evaluation of the Chebyshev polynomial of the first kind $T_N(x)$. Some of these algorithms are shown to be backward stable. This means that the computed value of $T_N(x)$ in floating point arithmetic by these algorithms can be interpreted as a slightly perturbed value of ...
Smoktunowicz, Alicja   +2 more
openaire   +2 more sources

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