Application of the Chebyshev collocation method to solve boundary value problems of heat conduction
For one-dimensional inhomogeneous (with respect to the spatial variable) linear parabolic equations, a combined approach is used, dividing the original problem into two subproblems.
Konstantin P. Lovetskiy +3 more
doaj +1 more source
Massive multiple input–multiple output (M-MIMO) is a promising and pivotal technology in contemporary wireless communication systems that can effectively enhance link reliability and data throughput, especially in uplink scenarios. Even so, the receiving
Yung-Ping Tu, Guan-Hong Liu
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The Crest factor for trigonometric polynomials. Part I: Approximation theoretical estimates
The Chebyshev norm of a degree n trigonometric polynomial is estimated against a discrete maximum norm based on equidistant sampling points where, typically, oversampling rather than critical sampling is used. The bounds are derived from various methods
K. Jetter, G. Pfander, G. Zimmermann
doaj +2 more sources
Comparative Analysis of Wavelet Bases for Solving First-Kind Fredholm Integral Equations
This research presents a comparative analysis of numerical methods for solving first-kind Fredholm integral equations using the Bubnov–Galerkin method with various wavelet and orthogonal polynomial bases.
Nurlan Temirbekov +3 more
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The paper proposes a matrix implementation of the collocation method for constructing a solution to Volterra integral equations of the second kind using systems of orthogonal Chebyshev polynomials of the first kind and Legendre polynomials. The integrand
O.V. Germider, V. N. Popov
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A novel 1D powered Chebyshev quadratic map-based image encryption using dynamic permutation-diffusion. [PDF]
Sarra B, Sun H, Dua M, Dua S, Dhingra D.
europepmc +1 more source
An Intelligent Multi-Task Supply Chain Model Based on Bio-Inspired Networks. [PDF]
Khaleghi M +3 more
europepmc +1 more source
Lightweight three-factor authentication protocol for 6G-enabled healthcare systems using Chebyshev chaotic maps and BioHashing. [PDF]
Abbas AM, Nasr ME, Abdelfatah RI.
europepmc +1 more source
Chebyshev polynomial solutions of systems of high-order linear
A Chebyshev collocation method has been presented for numerically solving systems of high-order linear ordinary differential equations with variable coefficients. Using the Chebyshev collocation points, this method transforms the ODE system and the given conditions to matrix equations with unknown Chebyshev coefficients. By means of the obtained matrix
Akyuz-Dascioglu, AE, Sezer, M
openaire +4 more sources
Chebyshev centers and radii for sets induced by quadratic matrix inequalities. [PDF]
Shakouri A, van Waarde HJ, Camlibel MK.
europepmc +1 more source

