Results 41 to 50 of about 32,100 (199)

Generalized Chebyshev polynomials of the second kind

, 2015
We characterize the generalized Chebyshev polynomials of the second kind (Chebyshev-II), and then we provide a closed form of the generalized Chebyshev-II polynomials using the Bernstein basis.
AlQudah, Mohammad A.
core   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Characterization of the generalized Chebyshev-type polynomials of first kind

, 2015
Orthogonal polynomials have very useful properties in the solution of mathematical problems, so recent years have seen a great deal in the field of approximation theory using orthogonal polynomials.
AlQudah, Mohammad A.
core   +2 more sources

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
doaj   +1 more source

Cosmographic analysis with Chebyshev polynomials

, 2017
The limits of standard cosmography are here revised addressing the problem of error propagation during statistical analyses. To do so, we propose the use of Chebyshev polynomials to parameterize cosmic distances.
Capozziello, Salvatore, D'Agostino, Rocco, Luongo, Orlando   +2 more
core   +1 more source

On Polynomial Multiplication in Chebyshev Basis

, 2012
In a recent paper Lima, Panario and Wang have provided a new method to multiply polynomials in Chebyshev basis which aims at reducing the total number of multiplication when polynomials have small degree.
Giorgi, Pascal
core   +3 more sources

On the Polynomial Multiplication in Chebyshev Form

IEEE Transactions on Computers, 2012
We give an efficient multiplication method for polynomials in Chebyshev form. This multiplication method is different from the previous ones. Theoretically, we show that the number of multiplications is at least as good as Karatsuba-based algorithm. Moreover, using the proposed method, we improve the number of additions slightly.
Sedat Akleylek, Murat Cenk, Ferruh Özbudak   +2 more
openaire   +3 more sources

Solving Non-Linear Fractional Variational Problems Using Jacobi Polynomials

Mathematics, 2019
The aim of this paper is to solve a class of non-linear fractional variational problems (NLFVPs) using the Ritz method and to perform a comparative study on the choice of different polynomials in the method.
Harendra Singh, Rajesh K. Pandey, Hari Mohan Srivastava   +2 more
doaj   +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
doaj   +1 more source