Results 11 to 20 of about 24,811,169 (263)
Fractal and Fractional, 2023 The main aim of this paper is to introduce a new class of orthogonal polynomials that generalizes the class of Chebyshev polynomials of the first kind. Some basic properties of the generalized Chebyshev polynomials and their shifted ones are established.
W. Abd-Elhameed, M. M. Alsuyuti
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Numerical Solution of Optimal Control Problems Using New Third Kind Chebyshev Wavelets Operational Matrix of Integration [PDF]
Engineering and Technology Journal, 2014 In this paper, we first construct third kind Chebyshev wavelets on the interval [0,1). Then, a 2^k M×2^k M matrix P, named as almost third kind Chebyshev wavelets operational matrix of integration is constracted and used to reduce the optimal control ...
Asmaa Abdullah Abdurrahman
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Window-based UFMC technique for 5G systems
Wasit Journal of Engineering Sciences, 2021 In this paper, we investigate the universal filtered multi-carrier system (UFMC) for 5G and subsequent connections with the aid of the MATLAB package. It can be considered that the UFMC technology provides an advantage against inter-symbol interference (
Safa N. Idi +2 more
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An approximation method for the solution of nonlinear integral equations [PDF]
, 2006 A Chebyshev collocation method has been presented to solve nonlinear integral equations in terms of Chebyshev polynomials. This method transforms the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations ...
Akyuz-Dascioglu, A, Yaslan, HC
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The Mathematical Scientist, 2022 A new numerical scheme based on the tau spectral method for solving the linear hyperbolic telegraph type equation is presented and implemented. The derivation of this scheme is based on utilizing certain modified shifted Chebyshev polynomials of the ...
A. G. Atta +3 more
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مجلة بغداد للعلوم, 2014 In this paper, a new third kind Chebyshev wavelets operational matrix of derivative is presented, then the operational matrix of derivative is applied for solving optimal control problems using, third kind Chebyshev wavelets expansions.
Baghdad Science Journal
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Chebyshev Cardinal Wavelets for Nonlinear Volterra Integral Equations of the Second Kind [PDF]
Mathematics Interdisciplinary Research, 2022 This study concentrated on the numerical solution of a nonlinear Volterra integral equation. The approach is accorded to a type of orthogonal wavelets named the Chebyshev cardinal wavelets.
Behnam Salehi +2 more
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Converse Sturm-Hurwitz-Kellogg theorem and related results [PDF]
, 2007 The classical Sturm-Hurwitz-Kellogg theorem asserts that a function, orthogonal to an n-dimensional Chebyshev system on a circle, has at least n+1 sign changes.
Tabachnikov, S.
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Applied Sciences, 2022 The privacy and security vulnerabilities in fifth-generation (5G)-enabled vehicular networks are often required to cope with schemes based on either bilinear pair cryptography (BPC) or elliptic curve cryptography (ECC). Nevertheless, these schemes suffer
Mahmood A. Al-Shareeda +8 more
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On linear homogeneous differential equation of Chebyshev type
Lietuvos Matematikos Rinkinys, 2008 Let L[y] = y(n)(z)+gn-1(z)y(n-1)(z)+. . .+g1(z)y(1)(z)+g0(z)y(z) = 0 be a differential equation of nth order with analytic in circle |z| < R coefficients.
Eduard Kiriyatzkii
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