Results 111 to 120 of about 6,433 (235)

A numerical technique for solving multi-dimensional fractional optimal control problems

Journal of Taibah University for Science, 2018
In this article, we use the operation matrix (OM) of Riemann–Liouville fractional integral of the shifted Gegenbauer polynomials with the Lagrange multiplier method to provide efficient numerical solutions to the multi-dimensional fractional optimal ...
Hoda F. Ahmed
doaj   +1 more source

The Orthogonal Riesz Fractional Derivative

Axioms
The aim of this paper is to extend the concept of the orthogonal derivative to provide a new integral representation of the fractional Riesz derivative. Specifically, we investigate the orthogonal derivative associated with Gegenbauer polynomials Cn(ν)(x)
Fethi Bouzeffour
doaj   +1 more source

Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]

International Journal of Mathematical, Engineering and Management Sciences
The Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe, Maisarah Haji Mohd, Feras Yousef, Shamani Supramaniam   +3 more
doaj   +1 more source

Adomian decomposition method by Gegenbauer and Jacobi polynomials

International Journal of Computer Mathematics, 2011
In this paper, orthogonal polynomials on [–1,1] interval are used to modify the Adomian decomposition method (ADM). Gegenbauer and Jacobi polynomials are employed to improve the ADM and compared with the method of using Chebyshev and Legendre polynomials.
Cenesiz, Yucel, Kurnaz, Aydin
openaire   +3 more sources

Oblique Water Wave Diffraction by a Step

International Journal of Applied Mechanics and Engineering, 2017
This paper is concerned with the problem of diffraction of an obliquely incident surface water wave train on an obstacle in the form of a finite step.
P. Dolai
doaj   +1 more source

Optimal Control of a Parabolic Distributed Parameter System Using a Barycentric Shifted Gegenbauer Pseudospectral Method

, 2016
In this paper, we introduce a novel pseudospectral method for the numerical solution of optimal control problems governed by a parabolic distributed parameter system.
Elgindy, Kareem T.
core  

Functionals of Gegenbauer polynomials and D-dimensional hydrogenic momentum expectation values [PDF]

, 2000
Walter Van Assche, R. J. Yáñez, Rosario González‐Férez, J. S. Dehesa   +3 more
openalex   +1 more source

Rényi Entropies of Multidimensional Oscillator and Hydrogenic Systems with Applications to Highly Excited Rydberg States. [PDF]

Entropy (Basel), 2022
Dehesa JS.
europepmc   +1 more source

Jaynes-Gibbs Entropic Convex Duals and Orthogonal Polynomials. [PDF]

Entropy (Basel), 2022
Le Blanc R.
europepmc   +1 more source

On p-harmonic self-maps of spheres. [PDF]

Calc Var Partial Differ Equ, 2023
Branding V, Siffert A.
europepmc   +1 more source