Results 171 to 180 of about 13,679 (194)
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Sobolev Orthogonal Polynomials Associated with Chebyshev Polynomials of the First Kind and the Cauchy Problem for Ordinary Differential Equations

Differential Equations, 2018
This paper deals with polynomials $T_{r,n}(x)$ generated by Chebyshev polynomials $T_n(x)$ and forming a Sobolev orthonormal system with an inner product. The paper establishes that the Fourier sums of the mentioned polynomials give an efficient tool for solving the Cauchy problem for ordinary differential equations approximately.
openaire   +1 more source

An alternative representation of the Vi��te's formula for pi by Chebyshev polynomials of the first kind

2016
There are several reformulations of the Vi te's formula for pi that have been reported in the modern literature. In this paper we show another analog to the Vi te's formula for pi by Chebyshev polynomials of the first kind.
Abrarov, S. M., Quine, B. M.
openaire   +1 more source

Approximating Real-Life BVPs via Chebyshev Polynomials’ First Derivative Pseudo-Galerkin Method

Fractal and Fractional, 2021
Mohamed Abdelhakem   +2 more
exaly  

Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations

International Journal of Nonlinear Sciences and Numerical Simulation, 2022
Waleed Abd-Elhameed   +2 more
exaly  

Fractional Differential Systems: A Fuzzy Solution Based on Operational Matrix of Shifted Chebyshev Polynomials and Its Applications

IEEE Transactions on Fuzzy Systems, 2017
Ali Ahmadian   +2 more
exaly  

Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials

Communications in Nonlinear Science and Numerical Simulation, 2012
Salameh Sedaghat   +2 more
exaly  

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