Results 21 to 30 of about 527 (171)
Chebyshev Operational Matrix Method for Lane-Emden Problem
Nonlinear Engineering, 2019 In the this paper, a new modified method is proposed for solving linear and nonlinear Lane-Emden type equations using first kind Chebyshev operational matrix of differentiation.
Sharma Bhuvnesh +3 more
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Comparative study on Fractional Isothermal Chemical Model
Alexandria Engineering Journal, 2021 This article investigates a family of approximate solutions for the fractional isothermal chemical (FIC) equation based on mass action kinetics for autocatalytic feedback, involving the conversion of a reactant in the Liouville-Caputo sense. We apply two
Khaled M. Saad
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A new estimate for a quantity involving the Chebyshev polynomials of the first kind [PDF]
Journal of Mathematical Analysis and Applications, 2019 In this paper, we establish a new estimate (including lower and upper bounds) for an important quantity involved in the convergence analysis of smoothed aggregation algebraic multigrid methods. The new upper bound improves the existing ones. And our upper bound is optimal.
Xuefeng Xu, Chen-Song Zhang
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A characterization of the four Chebyshev orthogonal families
International Journal of Mathematics and Mathematical Sciences, 2005 We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear ...
E. Berriochoa +2 more
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Fractal and Fractional, 2023 In this article, the authors propose to investigate the numerical solutions of several fractional-order models of the multi-space coupled Korteweg–De Vries equation involving many different kernels. In order to transform these models into a set or system
Khaled Mohammed Saad +1 more
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A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind [PDF]
Integral Transforms and Special Functions, 2016 We show that the only orthogonal polynomials with a generating function of the form $F(x z - αz^2)$ are the ultraspherical, Hermite, and Chebyshev polynomials of the first kind. For special $F$ for which this is the case, we then finish the classification of orthogonal polynomials with more general generating functions $F(x w(z) - R(z))$.
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Радіоелектронні і комп'ютерні системи, 2021 The subject of the research is the processes of formation and processing of signals with orthogonal frequency divisionand multiplexing (OFDM) of chaotic sequences to ensure the stealthiness of data transmission.
Костянтин Станіславович Васюта +7 more
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Notes on explicit and inversion formulas for the Chebyshev polynomials of the first two kinds [PDF]
Miskolc Mathematical Notes, 2019 In the paper, starting from the Rodrigues formulas for the Chebyshev polynomials of the first and second kinds, by virtue of the Fa\`a di Bruno formula, with the help of two identities for the Bell polynomials of the second kind, and making use of a new inversion theorem for combinatorial coefficients, the authors derive two nice explicit formulas and ...
Qi, Feng, Niu, Da-Wei, Lim, Dongkyu
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Determinants of Tridiagonal and Circulant Matrices Special Form by Chebyshev Polynomials
JTAM (Jurnal Teori dan Aplikasi Matematika)Along with the development of science, many researchers have found new methods to determine the determinant of a matrix of more than three orders.
Nurliantika Nurliantika +2 more
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Evaluation of Computing Symmetrical Zolotarev Polynomials of the First Kind [PDF]
Radioengineering, 2017 This report summarize and compares with each other various methods for computing the symmetrical Zolotarev Polynomial of the first kind and its spectrum. Suitable criteria are suggested for the comparison.
J. Kubak, P. Sovka, M. Vlcek
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