Zobrazeno 1 - 10 of 57 pro vyhledávání: '"Youssri H. Youssri"'
1
Akademický článek
Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas
Autor: Waleed M. Abd-Elhameed, Youssri H. Youssri
Publikováno v: Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-19 (2021)
Abstract The principal aim of the current article is to establish new formulas of Chebyshev polynomials of the sixth-kind. Two different approaches are followed to derive new connection formulas between these polynomials and some other orthogonal pol
Externí odkaz: https://doaj.org/article/51a617e684ef446ebcf247db62fdc2c9
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2
Akademický článek
Spectral tau algorithm for solving a class of fractional optimal control problems via Jacobi polynomials
Autor: Youssri H. Youssri, Waleed M. Abd-Elhameed
Publikováno v: An International Journal of Optimization and Control: Theories & Applications, Vol 8, Iss 2 (2018)
This paper is dedicated to analyzing and presenting an efficient numerical algorithm for solving a class of fractional optimal control problems (FOCPs). The basic idea behind the suggested algorithm is based on transforming the FOCP under investigati
Externí odkaz: https://doaj.org/article/d0f2df0388ee46dfae5de34bffb8bb95
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3
Akademický článek
A Novel Operational Matrix of Caputo Fractional Derivatives of Fibonacci Polynomials: Spectral Solutions of Fractional Differential Equations
Autor: Waleed M. Abd-Elhameed, Youssri H. Youssri
Publikováno v: Entropy, Vol 18, Iss 10, p 345 (2016)
Herein, two numerical algorithms for solving some linear and nonlinear fractional-order differential equations are presented and analyzed. For this purpose, a novel operational matrix of fractional-order derivatives of Fibonacci polynomials was const
Externí odkaz: https://doaj.org/article/1465febfd07941fa98c69304bd1be208
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4
Akademický článek
Integral spectral Tchebyshev approach for solving space Riemann-Liouville and Riesz fractional advection-dispersion problems
Autor: Eid H Doha, Waleed M Abd-Elhameed, Nermeen A Elkot, Youssri H Youssri
Publikováno v: Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-23 (2017)
Abstract The principal aim of this paper is to analyze and implement two numerical algorithms for solving two kinds of space fractional linear advection-dispersion problems. The proposed numerical solutions are spectral and they are built on assuming
Externí odkaz: https://doaj.org/article/420ccbf34e0e4ac7aebabade072fde87
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6
Two spectral Legendre's derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems
Autor: Youssri H. Youssri, Mohamed Abdelhakem
Publikováno v: Applied Numerical Mathematics. 169:243-255
This research aims to assemble two methodical spectral Legendre's derivative algorithms to numerically attack the Lane-Emden, Bratu's, and singularly perturbed type equations. We discretize the exact unknown solution as a truncated series of Legendre
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f2233475e6264e19eee2b0b39b072588
https://doi.org/10.1016/j.apnum.2021.07.006
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7
Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations
Autor: G. M. Moatimid, Waleed M. Abd-Elhameed, A. G. Atta, Youssri H. Youssri
Publikováno v: Applied Numerical Mathematics. 167:237-256
Through the current article, a numerical technique to obtain an approximate solution of one-dimensional linear hyperbolic partial differential equations is implemented. A certain combination of the shifted Chebyshev polynomials of the fifth-kind is u
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::110098f84d96203ef07d12024bd7f90a
https://doi.org/10.1016/j.apnum.2021.05.010
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9
Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations
Autor: Waleed M. Abd-Elhameed, José António Tenreiro Machado, Youssri H. Youssri
Publikováno v: International Journal of Nonlinear Sciences and Numerical Simulation. 23:1253-1268
This paper presents an explicit formula that approximates the fractional derivatives of Chebyshev polynomials of the first-kind in the Caputo sense. The new expression is given in terms of a terminating hypergeometric function of the type 4 F 3(1). T
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::53f10ca126734e665de0d348224b18a6
https://doi.org/10.1515/ijnsns-2020-0124
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10
Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas
Autor: Youssri H. Youssri, Waleed M. Abd-Elhameed
Publikováno v: Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-19 (2021)
The principal aim of the current article is to establish new formulas of Chebyshev polynomials of the sixth-kind. Two different approaches are followed to derive new connection formulas between these polynomials and some other orthogonal polynomials.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a708463ab23645c0498838f9f3cf4e1a
https://doaj.org/article/51a617e684ef446ebcf247db62fdc2c9
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