Search Results - Shifted Chebyshev polynomial algorithm

Shifted-Chebyshev-polynomial-based numerical algorithm for fractional order polymer visco-elastic rotating beam by Wang, Lei, Chen, Yi-Ming

“… According to the approximation technique of shifted Chebyshev polynomials, the integer and fractional differential operator matrices of polynomials are derived…”
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Fractional modelling and numerical simulations of variable-section viscoelastic arches by Dang, Rongqi, Chen, Yiming

“…•Numerical solutions of displacement, stress and strain are obtained directly in the time domain by shifted Chebyshev polynomial algorithm…”
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Reconstructed variational iteration algorithm via third-kind shifted Chebyshev polynomials for the numerical solution of seventh-order boundary value problems by Christie Yemisi Ishola, Musiliu Tayo Raji, Mutiu Lawal Olaosebikan, Mfon Okon Etuk, Asimiyu Olalekan Oladapo, Aduragbemi Adekunle Victor

“…The variational iteration algorithm using shifted Chebyshev polynomials of the third kind was used to obtain the numerical solution of seventh order Boundary Value Problems(PVBs) in this paper…”
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Solving and Numerical Simulations of Fractional-Order Governing Equation for Micro-Beams by Yang, Aimin, Zhang, Qunwei, Qu, Jingguo, Cui, Yuhuan, Chen, Yiming

“… A nonlinear-fractional order model for viscoelastic micro-beams is constructed. Before solving the governing equations, the operator matrices of shifted Chebyshev polynomials are derived first…”
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Numerical algorithm to solve generalized fractional pantograph equations with variable coefficients based on shifted Chebyshev polynomials by Wang, Li-Ping, Chen, Yi-Ming, Liu, Da-Yan, Boutat, Driss

“…In this paper, an efficient numerical technique based on the shifted Chebyshev polynomials (SCPs…”
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A new formula for fractional integrals of Chebyshev polynomials: Application for solving multi-term fractional differential equations by Bhrawy, A.H., Tharwat, M.M., Yildirim, A.

“…A new explicit formula for the integrals of shifted Chebyshev polynomials of any degree for any fractional-order in terms of shifted Chebyshev polynomials themselves is derived…”
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Computational algorithm for financial mathematical model based on European option by Srivastava, Nikhil, Singh, Aman, Singh, Vineet Kumar

“…) by using shifted Legendre polynomials (SLP) and shifted Chebyshev polynomials (SCP) to approximate the space derivatives…”
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An approximate method for Abel inversion using Chebyshev polynomials by Pandey, Rajesh K., Suman, Suraj, Singh, Koushlendra K., Singh, Om P.

“… In this paper, a new stable algorithm based on shifted Chebyshev polynomial approximation is presented and analyzed…”
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Estimates of the trace of the inverse of a symmetric matrix using the modified Chebyshev algorithm by Meurant, Gérard

“… As auxiliary polynomials we use the shifted Chebyshev polynomials. Since this can be too costly in computer storage for large matrices we also propose to compute the modified moments with a stochastic approach due to Hutchinson…”
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Numerical analysis of fractional partial differential equations applied to polymeric visco-elastic Euler-Bernoulli beam under quasi-static loads by Wang, Lei, Chen, Yiming, Cheng, Gang, Barrière, Thierry

“… In this paper, an effective numerical algorithm based on shifted Chebyshev polynomials is proposed to solve the fractional partial differential equations applied to polymeric visco-elastic problems…”
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An efficient numerical approach for solving three-point Lane–Emden–Fowler boundary value problem by Shahni, Julee, Singh, Randhir, Cattani, Carlo

“…For three-point Lane–Emden–Fowler boundary value problems (LEFBVPs), we propose two robust algorithms consisting of Bernstein and shifted Chebyshev polynomials coupled with the collocation technique…”
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Learning nonlinear dynamics with behavior ordinary/partial/system of the differential equations: looking through the lens of orthogonal neural networks by Omidi, M., Arab, B., Rasanan, A. H. Hadian, Rad, J. A., Parand, K.

“…Applications of neural network algorithms have been grown in recent years and various architectures have been introduced by researchers for the purpose of solving different types of differential equations…”
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Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations by Abd-Elhameed, W. M., Youssri, Y. H.

“… The proposed algorithms are obtained by utilizing a certain kind of shifted Chebyshev polynomials called the shifted fifth-kind Chebyshev polynomials as basis functions along with the application…”
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Solving change of basis from Bernstein to Chebyshev polynomials by Wolfram, D.A.

“…We 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…”
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A new method for designing multiplierless two-channel filterbank using shifted-Chebyshev polynomials by Kumar, Anil, Sharma, Ila

“…This paper presents an efficient design method for a digital multiplierless two-channel filterbank using the shifted-Chebyshev polynomials and common sub-expression elimination (CSE…”
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Explicit collocation algorithm for the nonlinear fractional Duffing equation via third-kind Chebyshev polynomials by Y.H. Youssri, A.G. Atta, M.O. Moustafa, Z.Y. Abu Waar

“…). The algorithm is based on using shifted Chebyshev polynomials of the third-kind as basis functions and the spectral collocation method as a solver…”
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Finite Integration Method with Shifted Chebyshev Polynomials for Solving Time-Fractional Burgers’ Equations by Duangpan, Ampol, Boonklurb, Ratinan, Treeyaprasert, Tawikan

“… These proposed algorithms are constructed by applying the finite integration method combined with the shifted Chebyshev polynomials to deal the spatial discretizations and further using the forward…”
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Variable fractional modeling and vibration analysis of variable-thickness viscoelastic circular plate by Dang, Rongqi, Cui, Yuhuan, Qu, Jingguo, Yang, Aimin, Chen, Yiming

“…•Shifted Chebyshev polynomials algorithm solves ternary government equation of the plate accurately in the time domain…”
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Numerical Solution of the Two-Sided Space–Time Fractional Telegraph Equation Via Chebyshev Tau Approximation by Bhrawy, Ali H., Zaky, Mahmoud A., Machado, José A. Tenreiro

“…–Liouville fractional integral, for shifted Chebyshev polynomials, are presented and derived…”
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A Rothe-Chebyshev collocation algorithm for the hyperbolic telegraphic type equations with variable coefficients by Izadi, Mohammad, Noeiaghdam, Samad, Ahmed, H.M.

“… Subsequently, the spectral matrix procedure utilizing the shifted modified Chebyshev polynomials (SMCPs…”
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