Results 81 to 90 of about 1,869 (181)

An Improved Multi-Chaotic Public Key Algorithm Based on Chebyshev Polynomials

Algorithms
Due to the similar characteristics of chaotic systems and cryptography, public key encryption algorithms based on chaotic systems are worth in-depth research and have high value for the future.
Chunfu Zhang, Jing Bai, Yanchun Liang, Adriano Tavares, Lidong Wang, Tiago Gomes, Sandro Pinto   +6 more
doaj   +1 more source

Forbidden subsequences and Chebyshev polynomials

Discrete Mathematics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Timothy Chow, Julian West
openaire   +2 more sources

Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev Polynomials

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2015
: The first kind of Chebyshev polynomials are used for the series expansion of the neutron angular flux in neutron transport theory. The first order approximation known as the diffusion approximation is applied to one-dimensional neutron transport ...
Ökkeş EGE, Hakan ÖZTÜRK, Ahmet BÜLBÜL   +2 more
doaj  

On Fractional Orthonormal Polynomials of a Discrete Variable

Discrete Dynamics in Nature and Society, 2015
A fractional analogue of classical Gram or discrete Chebyshev polynomials is introduced. Basic properties as well as their relation with the fractional analogue of Legendre polynomials are presented.
I. Area, J. D. Djida, J. Losada, Juan J. Nieto   +3 more
doaj   +1 more source

Adopted spectral tau approach for the time-fractional diffusion equation via seventh-kind Chebyshev polynomials

Boundary Value Problems
This study utilizes a spectral tau method to acquire an accurate numerical solution of the time-fractional diffusion equation. The central point of this approach is to use double basis functions in terms of certain Chebyshev polynomials, namely Chebyshev
W. M. Abd-Elhameed, Y. H. Youssri, A. G. Atta   +2 more
doaj   +1 more source

Tridiagonal matrices representations of generalized bivariate complex polynomials

Journal of Innovative Applied Mathematics and Computational Sciences
This paper introduces a closed-form expression for generalized bivariate complex polynomials using a tridiagonal determinant in symbolic form. Subsequences with even and odd indices are also represented as tridiagonal determinants.
K. L. Verma
doaj   +1 more source

New Formulae for the High-Order Derivatives of Some Jacobi Polynomials: An Application to Some High-Order Boundary Value Problems

The Scientific World Journal, 2014
This paper is concerned with deriving some new formulae expressing explicitly the high-order derivatives of Jacobi polynomials whose parameters difference is one or two of any degree and of any order in terms of their corresponding Jacobi polynomials ...
W. M. Abd-Elhameed
doaj   +1 more source

On the Collocation Method in Constructing a Solution to the Bending Equation for a Long Rectangular Nanoplate

Известия Иркутского государственного университета: Серия "Математика"
Within the framework of the theory of microstructural deformation, a new approach is proposed for constructing a solution to the bending equation of a long rectangular nanoplate that is under the influence of a transverse load.
O.V. Germider, V. N. Popov
doaj   +1 more source

Solvability and stability of a fractional dynamical system of the growth of COVID-19 with approximate solution by fractional Chebyshev polynomials. [PDF]

Adv Differ Equ, 2020
Hadid SB, Ibrahim RW, Altulea D, Momani S.   +3 more
europepmc   +1 more source

On Chebyshev polynomials and torus knots

, 2009
In this work we demonstrate that the q-numbers and their two-parameter generalization, the q,p-numbers, can be used to obtain some polynomial invariants for torus knots and links. First, we show that the q-numbers, which are closely connected with the Chebyshev polynomials, can also be related with the Alexander polynomials for the class T(s,2) of ...
Gavrilik, A.M., Pavlyuk, A.M.
openaire   +3 more sources