Results 21 to 30 of about 1,910 (137)

Brauer-Type Inclusion Sets of Zeros for Chebyshev Polynomial

Mathematics, 2019
The generalized polynomials such as Chebyshev polynomial and Hermite polynomial are widely used in interpolations and numerical fittings and so on. Therefore, it is significant to study inclusion regions of the zeros for generalized polynomials.
Xiao Feng, Yaotang Li
doaj   +1 more source

RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS

Проблемы анализа, 2020
We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
doaj   +1 more source

An approximate solution of the Blasius problem using spectral method

Partial Differential Equations in Applied Mathematics
This paper aims at finding the numerical approximation of a classical Blasius flat plate problem using spectral collocation method. This technique is based on Chebyshev pseudospectral approach that involves the solution is approximated using Chebyshev ...
Zunera Shoukat, Azad Akhter Siddiqui, M. Huzaifa Yaseen, M. Ijaz Khan, Barno Sayfutdinovna Abdullaeva, M. Waqas, Manish Gupta   +6 more
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Some results on complex $(p,q)- $extnsion Chebyshev wavelets [PDF]

Journal of Mahani Mathematical Research
In this paper, we propose a generalized formula for well-known functions such as $(p,q)$-Chebyshev polynomials. Our  consideration is focused on determining properties of generalized Chebyshev polynomials of the first and second kind, sparking interest ...
H. Mazaheri, A.W. Safi, S.M. Jesmani
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Properties of the second-kind Chebyshev polynomials of complex variable

Researches in Mathematics, 2020
We construct a system of functions biorthogonal with Chebyshev polynomials of the second kind on closed contours in the complex plane. Properties of these functions and sufficient conditions of expansion of analytic functions into series in Chebyshev ...
O.V. Veselovska, V.V. Dostoina, M.I. Klapchuk   +2 more
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Subspace‐Based System Identification From Binary Measurements

Asian Journal of Control, EarlyView.
ABSTRACT This paper is concerned with subspace identification from binary measurements for systems whose dynamical behavior can be splited into a deterministic and a stochastic subsystem. An identification algorithm is detailed. The main contribution of the proposed identification algorithm lies in the identification of both the deterministic subsystem
Alex Ali Mestrah, Mathieu Pouliquen, Eric Pigeon   +2 more
wiley   +1 more source

Planar Coulomb Gas on a Jordan Arc at Any Temperature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc γ$\gamma$ in the complex plane, at inverse temperature β>0$\beta > 0$. Let Z¯nβ(γ)=Znβ(γ)((2cap(γ))βn2/2e(1−β/2)n(H(νe,γ)−H(νe,I)),$$\begin{equation*} \bar{Z}_{n}^\beta (\gamma)=\frac{Z_n^\beta (\gamma)}{((2\text{cap}(\gamma))^{\beta n^2/2}e^{(1-\beta /2)n(H(\nu _{e ...
K. Courteaut, K. Johansson, F. Viklund
wiley   +1 more source

Numerical estimation of the fractional advection–dispersion equation under the modified Atangana–Baleanu–Caputo derivative

Results in Physics, 2023
The transport of contaminants is a crucial environmental issue, and accurate modeling of this phenomenon is vital for developing effective strategies for its management.
Mohammad Partohaghighi, Marzieh Mortezaee, Ali Akgül, Sayed M. Eldin   +3 more
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A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Clenshaw algorithm in the interpolation problem by the Chebyshev collocation method

Discrete and Continuous Models and Applied Computational Science
The article describes a method for calculating interpolation coefficients of expansion using Chebyshev polynomials. The method is valid when the desired function is bounded and has a finite number of maxima and minima in a finite domain of interpolation.
P. Lovetskiy Konstantin, A. Tiutiunnik Anastasiia, Felix Jose do Nascimento Vicente, Celmilton Teixeira Boa Morte   +3 more
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