Results 41 to 50 of about 31,852 (174)
Solving Non-Linear Fractional Variational Problems Using Jacobi Polynomials
Mathematics, 2019 The aim of this paper is to solve a class of non-linear fractional variational problems (NLFVPs) using the Ritz method and to perform a comparative study on the choice of different polynomials in the method.
Harendra Singh +2 more
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Results in Physics, 2023 The transport of contaminants is a crucial environmental issue, and accurate modeling of this phenomenon is vital for developing effective strategies for its management.
Mohammad Partohaghighi +3 more
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JTAM (Jurnal Teori dan Aplikasi Matematika), 2021 In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order difference equation and the process obtaining the explicit solution of the Chebyshev polynomial have been given for each real number.
Ikhsan Maulidi +3 more
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Clenshaw algorithm in the interpolation problem by the Chebyshev collocation method
Discrete and Continuous Models and Applied Computational ScienceThe article describes a method for calculating interpolation coefficients of expansion using Chebyshev polynomials. The method is valid when the desired function is bounded and has a finite number of maxima and minima in a finite domain of interpolation.
P. Lovetskiy Konstantin +3 more
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To Solution of Contact Problem for Rectangular Plate on Elastic Half-Space
Наука и техника, 2020 Until the present time there is no exact solution to the contact problem for a rectangular plate on an elastic base with distribution properties. Practical analogues of this design are slab foundations widely used in construction.
S. V. Bosakov
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Approximation Properties of Chebyshev Polynomials in the Legendre Norm
Mathematics, 2021 In this paper, we present some important approximation properties of Chebyshev polynomials in the Legendre norm. We mainly discuss the Chebyshev interpolation operator at the Chebyshev–Gauss–Lobatto points.
Cuixia Niu +3 more
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Generalizations of Chebyshev polynomials and polynomial mappings [PDF]
Transactions of the American Mathematical Society, 2007 In this paper we show how polynomial mappings of degree K \mathfrak {K} from a union of disjoint intervals onto [ − 1 , 1 ] [-1,1] generate a countable number of special cases of generalizations of Chebyshev polynomials.
Chen, Yang +2 more
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Resultants of Chebyshev Polynomials
Zeitschrift für Analysis und ihre Anwendungen, 2008 Recently, K. Dillcher and K. B. Stolarsky [ Trans. Amer. Math. Soc. 357 (2004), 965–981] used algebraic methods to evaluate the resultant of two linear combinations of Chebyshev polynomials of the second kind.
Jemal Gishe, Mourad E. H. Ismail
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Solving change of basis from Bernstein to Chebyshev polynomials
Examples and CounterexamplesWe provide two closed-form solutions to the change of basis from Bernstein polynomials to shifted Chebyshev polynomials of the fourth kind and show them to be equivalent by applying Zeilberger’s algorithm. The first solution uses orthogonality properties
D.A. Wolfram
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, 2007 In order to improve the phasing of the comparable-mass waveform as we approach the last stable orbit for a system, various re-summation methods have been used to improve the standard post-Newtonian waveforms.
C. W. Helstrom +6 more
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