Results 71 to 80 of about 31,852 (174)

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

Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions

Open Mathematics, 2017
A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
Prodinger Helmut
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

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

Representing derivatives of Chebyshev polynomials by Chebyshev polynomials

, 2016
A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula.
openaire   +2 more sources

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

Convolutions Involving Chebyshev Polynomials

Electronic Journal of Mathematics, 2022
Zhiling Fan, Wenchang Chu
openaire   +2 more sources

Numerical Treatment of the Time-Fractional Kuramoto–Sivashinsky Equation Using a Combined Chebyshev-Collocation Approach

Fractal and Fractional
In this paper, we present a collocation algorithm for numerically treating the time-fractional Kuramoto–Sivashinsky equation (TFKSE). Certain orthogonal polynomials, which are expressed as combinations of Chebyshev polynomials, and their shifted ...
Waleed Mohamed Abd-Elhameed, Mohamed A. Abdelkawy, Naher Mohammed A. Alsafri, Ahmed Gamal Atta   +3 more
doaj   +1 more source

Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials. [PDF]

J Inequal Appl, 2018
Kim T, Kim DS, Dolgy DV, Park JW.
europepmc   +1 more source