Search Results - "Abd Elhameed, Mohamed"

Effective damping of local low frequency oscillations in power systems integrated with bulk PV generation by Abd El-Kareem, Ahmed Hesham, Abd Elhameed, Mohamed, Elkholy, Mahmoud M.

“…High penetration of renewable sources into conventional power systems results in reduction of system inertia and noticeable low-frequency oscillations (LFOs)…”
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Is solitary kidney really more resistant to ischemia? An experimental canine study by Osman, Yasser, Hamed, Sahar M, Moustafa, Fatma E, Barakat, Nashwa M, Abd Elhameed, Mohamed, Mosbah, Ahmed, Mansour, Sahar, Gaballah, Mohamed A, Shaaban, Atallah

“…To our knowledge there are no evidence-based medicine data to date to critically judge the vulnerability of a solitary kidney to warm ischemia compared to…”
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Novel Expressions for the Derivatives of Sixth Kind Chebyshev Polynomials: Spectral Solution of the Non-Linear One-Dimensional Burgers’ Equation by Abd-Elhameed, Waleed Mohamed

“…This paper is concerned with establishing novel expressions that express the derivative of any order of the orthogonal polynomials, namely, Chebyshev…”
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Novel Formulae of Certain Generalized Jacobi Polynomials by Abd-Elhameed, Waleed Mohamed

“…The main goal of this article is to investigate theoretically a kind of orthogonal polynomials, namely, generalized Jacobi polynomials (GJPs). These…”
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New Results of the Fifth-Kind Orthogonal Chebyshev Polynomials by Abd-Elhameed, Waleed Mohamed, Alkhamisi, Seraj Omar

“…The principal objective of this article is to develop new formulas of the so-called Chebyshev polynomials of the fifth-kind. Some fundamental properties and…”
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Spectral solutions for the time-fractional heat differential equation through a novel unified sequence of Chebyshev polynomials by Abd-Elhameed, Waleed Mohamed, Ahmed, Hany Mostafa

“…In this article, we propose two numerical schemes for solving the time-fractional heat equation (TFHE). The proposed methods are based on applying the…”
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Numerical Treatment of Multi-Term Fractional Differential Equations via New Kind of Generalized Chebyshev Polynomials by Abd-Elhameed, Waleed Mohamed, Alsuyuti, Muhammad Mahmoud

“…The main aim of this paper is to introduce a new class of orthogonal polynomials that generalizes the class of Chebyshev polynomials of the first kind. Some…”
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Some Novel Formulas of Lucas Polynomials via Different Approaches by Abd-Elhameed, Waleed Mohamed, Napoli, Anna

“…Some new formulas related to the well-known symmetric Lucas polynomials are the primary focus of this article. Different approaches are used for establishing…”
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Novel Identities of Bernoulli Polynomials Involving Closed Forms for Some Definite Integrals by Abd-Elhameed, Waleed Mohamed, Amin, Amr Kamel

“…This paper presents new results of Bernoulli polynomials. New derivative expressions of some celebrated orthogonal polynomials and other polynomials are given…”
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New formulas of convolved Pell polynomials by Abd-Elhameed, Waleed Mohamed, Napoli, Anna

“…The article investigates a class of polynomials known as convolved Pell polynomials. This class generalizes the standard class of Pell polynomials. New…”
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The cytotoxic effect of cysteamine and its combinations with various endodontic intracanal medications on fibroblast cells: in vitro study by ElGammal, Esraa Adel Mohamed Abd Elhameed, Mahran, Abeer Hashem, El Ashry, Salma Hassan, Fahmy, Sara Hossam

“…Background This study was established to assess cysteamine’s cytotoxic effect alone and in combination with various intracanal medications on fibroblast cells,…”
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Some Formulas and Recurrences of Certain Orthogonal Polynomials Generalizing Chebyshev Polynomials of the Third-Kind by Abd-Elhameed, Waleed Mohamed, Al-Harbi, Mohamed Salem

“…This paper investigates certain Jacobi polynomials that involve one parameter and generalize the well-known orthogonal polynomials called Chebyshev polynomials…”
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New results of unified Chebyshev polynomials by Abd-Elhameed, Waleed Mohamed, Alqubori, Omar Mazen

“…This paper presents a new approach for the unified Chebyshev polynomials (UCPs). It is first necessary to introduce the three basic formulas of these…”
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Eighth-Kind Chebyshev Polynomials Collocation Algorithm for the Nonlinear Time-Fractional Generalized Kawahara Equation by Abd-Elhameed, Waleed Mohamed, Youssri, Youssri Hassan, Amin, Amr Kamel, Atta, Ahmed Gamal

“…In this study, we present an innovative approach involving a spectral collocation algorithm to effectively obtain numerical solutions of the nonlinear…”
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A Tau Approach for Solving Time-Fractional Heat Equation Based on the Shifted Sixth-Kind Chebyshev Polynomials by Abdelghany, Esraa Magdy, Abd-Elhameed, Waleed Mohamed, Moatimid, Galal Mahrous, Youssri, Youssri Hassan, Atta, Ahmed Gamal

“…The time-fractional heat equation governed by nonlocal conditions is solved using a novel method developed in this study, which is based on the spectral tau…”
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Novel Formulas of Schröder Polynomials and Their Related Numbers by Abd-Elhameed, Waleed Mohamed, Amin, Amr Kamel

“…This paper explores the Schröder polynomials, a class of polynomials that produce the famous Schröder numbers when x=1. The three-term recurrence relation and…”
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Spectral Solutions of Even-Order BVPs Based on New Operational Matrix of Derivatives of Generalized Jacobi Polynomials by Abd-Elhameed, Waleed Mohamed, Badah, Badah Mohamed, Amin, Amr Kamel, Alsuyuti, Muhammad Mahmoud

“…The primary focus of this article is on applying specific generalized Jacobi polynomials (GJPs) as basis functions to obtain the solution of linear and…”
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New Formulas Involving Fibonacci and Certain Orthogonal Polynomials by Abd-Elhameed, Waleed Mohamed, Ahmed, Hany M., Napoli, Anna, Kowalenko, Victor

“…In this paper, new formulas for the Fibonacci polynomials, including high-order derivatives and repeated integrals of them, are derived in terms of the…”
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New Approaches to the General Linearization Problem of Jacobi Polynomials Based on Moments and Connection Formulas by Abd-Elhameed, Waleed Mohamed, Badah, Badah Mohamed

“…This article deals with the general linearization problem of Jacobi polynomials. We provide two approaches for finding closed analytical forms of the…”
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Spectral tau solution of the linearized time-fractional KdV-Type equations by Abd-Elhameed, Waleed Mohamed, Youssri, Youssri Hassan

“…The principal objective of the current paper is to propose a numerical algorithm for treating the linearized time-fractional KdV equation based on selecting…”
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