Results 51 to 60 of about 27,120 (203)

A New Fractional Integration Operational Matrix of Chebyshev Wavelets in Fractional Delay Systems

Fractal and Fractional, 2019
Fractional integration operational matrix of Chebyshev wavelets based on the Riemann−Liouville fractional integral operator is derived directly from Chebyshev wavelets for the first time.
Iman Malmir
doaj   +1 more source

Image Encryption Algorithm Using Multi-Level Permutation and Improved Logistic–Chebyshev Coupled Map

Information, 2023
To improve the randomness of the Chebyshev chaotic sequences by coupling the Logistic map and the Chebyshev map, a new one-dimensional Logistic–Chebyshev chaotic map (LCCM) is first presented in this paper.
Mingfang Jiang, Hengfu Yang
doaj   +1 more source

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

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

Decay analysis of bivariate Chebyshev coefficients for functions with limited regularity

Results in Applied Mathematics
The Chebyshev polynomial approximation is a useful tool to approximate smooth and non-smooth functions. In fact, for a sufficiently smooth function, the partial sum of Chebyshev series expansion provides optimal polynomial approximation.
Akansha
doaj   +1 more source

Comparison of Chebyshev and Legendre Polynomial Expansion of Phase Function of Cloud and Aerosol Particles

Advances in Meteorology, 2017
Chebyshev and Legendre polynomial expansion is used to reconstruct the Henyey-Greenstein phase function and the phase functions of spherical and nonspherical particles.
Feng Zhang, Kun Liu, Quan Yang, Kun Wu, Jian-Qi Zhao   +4 more
doaj   +1 more source

The first rational Chebyshev knots [PDF]

, 2010
A Chebyshev knot ${\cal C}(a,b,c,\phi)$ is a knot which has a parametrization of the form $ x(t)=T_a(t); \ y(t)=T_b(t) ; \ z(t)= T_c(t + \phi), $ where $a,b,c$ are integers, $T_n(t)$ is the Chebyshev polynomial of degree $n$ and $\phi \in \R.$ We show ...
Koseleff, Pierre-Vincent, Pecker, Daniel, Koseleff, P.-V., Rouillier, F., P.-V. Koseleff, Rouillier, Fabrice, D. Pecker, Pecker, D., F. Rouillier   +8 more
core   +1 more source

Detecting Loosening of Bolt‐Flanged Pipe Using Smoothed Pseudo Wigner–Ville Distribution: Digital Twin‐Based Approach Using Convolution Neural Networks

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT In this paper, an integrated digital twin‐based fault‐diagnosis framework is proposed to detect bolt loosening in flanged pipe connections. The approach combines finite element‐based numerical modeling, experimental modal analysis, and advanced signal processing‐assisted deep learning to achieve reliable loosening detection under operational ...
Milad Shabani Yousefabad, Behzad Totakhaneh Bonab, Morteza Homayoun Sadeghi, Mir Mohammad Ettefagh, Mohammad Reza Chalak Qazani   +4 more
wiley   +1 more source

Projeto de filtros transicionais baseados em aproximações polinomiais clássicas / [PDF]

, 1999
Dissertação (Mestrado) - Universidade Federal de Santa Catarina, Centro Tecnológico.Este trabalho propõe uma metodologia de projeto de filtros transicionais passa-baixas que usam seis aproximações clássicas bem conhecidas de filtros polinomiais ...
Farias, Aurencio Sanczczak
core  

Toward Encrypted OPF Across Transmission and Distribution—Prospects and Open Problems of Encrypted Quadratic Programming

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The increasing integration of distributed energy resources demands enhanced coordination between transmission system operators (TSOs) and distribution system operators (DSOs) to maintain reliable grid operation. Traditional approaches rely on hierarchical or distributed optimization schemes for power flow management, but these methods either ...
Janis Adamek, Philipp Binfet, Maísa Beraldo Bandeira, Timm Faulwasser, Moritz Schulze Darup   +4 more
wiley   +1 more source