Results 1 to 10 of about 44,524 (180)

A cardinal approach for two-dimensional modified anomalous space–time fractional sub-diffusion equation

open access: yesResults in Physics, 2023
In this paper, the modified anomalous space–time fractional sub-diffusion equation in two dimensions is introduced. The Chebyshev cardinal polynomials (as an appropriate family of basis functions) are successfully used to make a computational technique ...
M.H. Heydari
doaj   +1 more source

Fractional‐order sliding mode attitude coordinated control for spacecraft formation flying with unreliable wireless communication

open access: yesIET Control Theory & Applications, 2023
This paper investigates the coordinated attitude control problem with fractional order sliding mode control theory for spacecraft formation flying by considering of unknown disturbance, inertia uncertainty, partial loss of actuators, and communication ...
Fan Wu, Ming Liu, Zhenyu Feng, Xibin Cao
doaj   +1 more source

LP-decodable multipermutation codes

open access: yes, 2014
In this paper, we introduce a new way of constructing and decoding multipermutation codes. Multipermutations are permutations of a multiset that may consist of duplicate entries. We first introduce a new class of matrices called multipermutation matrices.
Draper, Stark C., Liu, Xishuo
core   +2 more sources

An approximate solution of one singular integro-differential equation using the method of orthogonal polynomials

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2020
Two computational schemes for solving boundary value problems for a singular integro-differential equation, which describes the scattering of H-polarized electromagnetic waves by a screen with a curved boundary, are constructed.
Galina A. Rasolko, Sergei M. Sheshko
doaj   +1 more source

Lyapunov exponent and natural invariant density determination of chaotic maps: An iterative maximum entropy ansatz

open access: yes, 2009
We apply the maximum entropy principle to construct the natural invariant density and Lyapunov exponent of one-dimensional chaotic maps. Using a novel function reconstruction technique that is based on the solution of Hausdorff moment problem via ...
Akheizer N I   +12 more
core   +1 more source

MacMahon's sum-of-divisors functions, Chebyshev polynomials, and Quasi-modular forms [PDF]

open access: yes, 2010
We investigate a relationship between MacMahon's generalized sum-of-divisors functions and Chebyshev polynomials of the first kind. This determines a recurrence relation to compute these functions, as well as proving a conjecture of MacMahon about their ...
Andrews, George E., Rose, Simon CF
core  

Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials

open access: yesMathematics, 2019
In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim   +3 more
doaj   +1 more source

Stochastic collocation on unstructured multivariate meshes

open access: yes, 2015
Collocation has become a standard tool for approximation of parameterized systems in the uncertainty quantification (UQ) community. Techniques for least-squares regularization, compressive sampling recovery, and interpolatory reconstruction are becoming ...
Narayan, Akil, Zhou, Tao
core   +1 more source

Calculation of Densities of States and Spectral Functions by Chebyshev Recursion and Maximum Entropy

open access: yes, 1997
We present an efficient algorithm for calculating spectral properties of large sparse Hamiltonian matrices such as densities of states and spectral functions.
A. F. Voter   +26 more
core   +1 more source

Novel Numerical Investigation of Reaction Diffusion Equation Arising in Oil Price Modeling

open access: yesMathematics
Consideration is given to a reaction–diffusion free boundary value problem with one or two turning points arising in oil price modeling. First, an exact (analytical) solution to the reduced problem (i.e., no diffusion term) was obtained for some given ...
Fehaid Salem Alshammari
doaj   +1 more source

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