Results 131 to 140 of about 507 (157)
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Contemporary Mathematics, 2023
This paper describes an algorithm for obtaining approximate solutions to a variety of well-known Lane-Emden type equations. The algorithm expands the desired solution y(x) ≃ yN(x), in terms of shifted Chebyshev polynomials of first kind such that yN(i)(0) = y(i)(0) (i = 0, 1, ..., N).
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This paper describes an algorithm for obtaining approximate solutions to a variety of well-known Lane-Emden type equations. The algorithm expands the desired solution y(x) ≃ yN(x), in terms of shifted Chebyshev polynomials of first kind such that yN(i)(0) = y(i)(0) (i = 0, 1, ..., N).
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Asian-European Journal of Mathematics, 2018
This paper presents a numerical method for solving a certain class of Fredholm integral equations of the first kind, whose unknown function is singular at the end-points of the integration domain, and has a weakly singular logarithmic kernel with analytical treatments of the singularity. To achieve this goal, the kernel is parametrized, and the unknown
Shoukralla, E. S., Markos, M. A.
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This paper presents a numerical method for solving a certain class of Fredholm integral equations of the first kind, whose unknown function is singular at the end-points of the integration domain, and has a weakly singular logarithmic kernel with analytical treatments of the singularity. To achieve this goal, the kernel is parametrized, and the unknown
Shoukralla, E. S., Markos, M. A.
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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.
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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.
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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.
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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.
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Approximating Real-Life BVPs via Chebyshev Polynomials’ First Derivative Pseudo-Galerkin Method
Fractal and Fractional, 2021Mohamed Abdelhakem +2 more
exaly
Polynomials Associated with Chebyshev Polynomials of the First Kind
The Fibonacci Quarterly, 1977openaire +1 more source
International Journal of Nonlinear Sciences and Numerical Simulation, 2022
Waleed Abd-Elhameed +2 more
exaly
Waleed Abd-Elhameed +2 more
exaly