Results 61 to 70 of about 507 (157)

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

Mathematical 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, Dina Abdelhamied, Mamdouh El-kady, Youssri Hassan Youssri   +3 more
doaj   +1 more source

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

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

, 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, Smoktunowicz, Agata, Pawelec, Ewa   +2 more
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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.
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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

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

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

Spectral methods for Neural Integral Equations. [PDF]

Ric Mat
Zappala E.
europepmc   +1 more source