Results 101 to 110 of about 6,433 (235)

The Numerical Approximation of Caputo Fractional Derivatives of Higher Orders Using a Shifted Gegenbauer Pseudospectral Method: A Case Study of Two-Point Boundary Value Problems of the Bagley–Torvik Type

Mathematics
This paper introduces a novel Shifted Gegenbauer Pseudospectral (SGPS) method for approximating Caputo fractional derivatives (FDs) of an arbitrary positive order.
Kareem T. Elgindy
doaj   +1 more source

A four dimensional Bernstein Theorem

, 2019
We prove a four dimensional version of the Bernstein Theorem, with complex polynomials being replaced by quaternionic polynomials. We deduce from the theorem a quaternionic Bernstein's inequality and give a formulation of this last result in terms of ...
Perotti, Alessandro
core  

Accurate computation and tabulation of the scalar Green function for bi-anisotropic media and its derivatives [PDF]

, 2012
C
Bogaert, Ignace
core   +2 more sources

The Gegenbauer polynomials and typically real functions

Journal of Computational and Applied Mathematics, 2003
AbstractLinear and nonlinear coefficient problems for some class of typically real functions are studied. Different inequalities for the Gegenbauer polynomials appear to be very useful.
K. Kiepiela, I. Naraniecka, Jan Szynal
openaire   +2 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

Studies in Sums of Finite Products of the Second, Third, and Fourth Kind Chebyshev Polynomials

Mathematics, 2020
In this paper, we consider three sums of finite products of Chebyshev polynomials of two different kinds, namely sums of finite products of the second and third kind Chebyshev polynomials, those of the second and fourth kind Chebyshev polynomials, and ...
Taekyun Kim, Dae San Kim, Hyunseok Lee, Jongkyum Kwon   +3 more
doaj   +1 more source

Direct integral pseudospectral and integral spectral methods for solving a class of infinite horizon optimal output feedback control problems using rational and exponential Gegenbauer polynomials [PDF]

, 2023
Kareem T. Elgindy, Hareth M. Refat
openalex   +1 more source

A collocation procedure for the numerical treatment of FitzHugh–Nagumo equation using a kind of Chebyshev polynomials

AIMS Mathematics
This manuscript aims to provide numerical solutions for the FitzHugh–Nagumo (FH–N) problem. The suggested approximate solutions are spectral and may be achieved using the standard collocation technique.
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Ahmed Gamal Atta   +2 more
doaj   +1 more source

Results on the associated Jacobi and Gegenbauer polynomials

Journal of Computational and Applied Mathematics, 1993
AbstractRecurrence relations for the coefficients of the Jacobi polynomial form of the associated Jacobi polynomials P(α,β)n(x; c) are given. For certain values of α, β, explicit formulae for these coefficients are obtained. In particular, the classical Watson formula for the first associated Gegenbauer polynomials is generalized.
openaire   +2 more sources

Quantum algebra approach to q Gegenbauer polynomials

Journal of Computational and Applied Mathematics, 1995
AbstractQuantum algebras provide a natural algebraic setting for q special functions. The matrix elements of certain algebra generators in irreducible representations are in fact expressible in terms of q hypergeometric series. Taking the quantum algebra U((1,1)) as example, we shall show that its metaplectic representation provides a group-theoretic ...
Roberto Floreanini, Luc Vinet
openaire   +3 more sources