Results 101 to 110 of about 13,679 (194)

Discrete Entropies of Chebyshev Polynomials

Mathematics
Because of its flexibility and multiple meanings, the concept of information entropy in its continuous or discrete form has proven to be very relevant in numerous scientific branches. For example, it is used as a measure of disorder in thermodynamics, as
Răzvan-Cornel Sfetcu, Sorina-Cezarina Sfetcu, Vasile Preda   +2 more
doaj   +1 more source

New formulae for Chebyshev polynomials of the first and second kind

, 2017
There are many interesting properties of these polynomials [1]. Using Trudi’s formula [2] for determinants and permanents of the Toeplitz – Hessenberg matrices of special kind, we obtain the new formulae.
openaire   +1 more source

Application of the Chebyshev collocation method to solve boundary value problems of heat conduction

Discrete and Continuous Models and Applied Computational Science
For one-dimensional inhomogeneous (with respect to the spatial variable) linear parabolic equations, a combined approach is used, dividing the original problem into two subproblems.
Konstantin P. Lovetskiy, Stepan V. Sergeev, Dmitry S. Kulyabov, Leonid A. Sevastianov   +3 more
doaj   +1 more source

Efficient Nyström-type method for the solution of highly oscillatory Volterra integral equations of the second kind. [PDF]

PLoS One, 2023
Wu Q, Sun M.
europepmc   +1 more source

On the identification of the parameters of linear systems using Chebyshev polynomials of the first kind and Chebyshev polynomials orthogonal on a uniform grid [PDF]

Daghestan Electronic Mathematical Reports, 2014
Idris Sharapudinov, Murad Sultanahmedov, Tadgidin Shakh-Emirov, Magomedrasul Magomed-Kasumov, Timur Sharapudinov, Gasan Akniyev, Ramis Gadzhimirzaev   +6 more
openaire   +1 more source

Modeling and analysis of fascioliasis disease with Katugampola fractional derivative: a memory-incorporated epidemiological approach. [PDF]

Sci Rep
Pandey RK, Nisar KS.
europepmc   +1 more source

A numerical approach to fractional Volterra-Fredholm integro-differential problems using shifted Chebyshev spectral collocation. [PDF]

Sci Rep
Hamood MM, Sharif AA, Ghadle KP.
europepmc   +1 more source

Spectral methods for Neural Integral Equations. [PDF]

Ric Mat
Zappala E.
europepmc   +1 more source

An alternative representation of the Vi\`ete's formula for pi by Chebyshev polynomials of the first kind

, 2016
There are several reformulations of the Vi\`ete's formula for pi that have been reported in the modern literature. In this paper we show another analog to the Vi\`ete's formula for pi by Chebyshev polynomials of the first kind.
Abrarov, S. M., Quine, B. M.
openaire   +1 more source

Numerical analysis, spectral graph theory, orthogonal polynomials and quantum algorithms. [PDF]

Philos Trans A Math Phys Eng Sci
Minenkova A, Mograby G, Zhan H.
europepmc   +1 more source