Results 51 to 60 of about 507 (157)

On the Collocation Method in Constructing a Solution to the Volterra Integral Equation of the Second Kind Using Chebyshev and Legendre Polynomials

Известия Иркутского государственного университета: Серия "Математика"
The paper proposes a matrix implementation of the collocation method for constructing a solution to Volterra integral equations of the second kind using systems of orthogonal Chebyshev polynomials of the first kind and Legendre polynomials. The integrand
O.V. Germider, V. N. Popov
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Definite Integrals using Orthogonality and Integral Transforms

Symmetry, Integrability and Geometry: Methods and Applications, 2012
We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
Howard S. Cohl, Hans Volkmer
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Discrete ordinates (SN) method for the first solution of the transport equation using Chebyshev polynomials

EPJ Web of Conferences, 2016
First estimates for the numerical solution of the one-dimensional neutron transport equation for one-speed neutrons in a finite homogeneous slab is studied. The neutrons are assumed to be scattered isotropically through the medium.
Öztürk Hakan
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Calculator of some special mathematical functions [PDF]

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

Nonlinear 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, Keshtkar Mahdi, Navidi Hamidreza   +2 more
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Binomials transformation formulae for scaled Fibonacci numbers

Open 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, Piątek Bożena, Wituła Roman   +2 more
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Approximation by Nonlinear Hermite-Fejer interpolation operators of max-product kind on Chebyshev nodes

Journal 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
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Generalized Chebyshev Polynomials

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

Daghestan Electronic Mathematical Reports, 2015
Idris Sharapudinov, Magomedrasul Magomed-Kasumov, Salikh Magomedov   +2 more
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Chebyshev-Fourier Spectral Methods for Nonperiodic Boundary Value Problems

Journal 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
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