Yazar "Mahmoud, Emad E." seçeneğine göre listele

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    Fractal fractional-order derivative for HIV/AIDS model with Mittag-Leffler kernel
    (Elsevier, 2022) Farman, Muhammad; Akgul, Ali; Tekin, Merve Tastan; Akram, Muhammad Mannan; Ahmad, Aqeel; Mahmoud, Emad E.; Yahia, Ibrahim S.
    In this paper, HIV/AIDS fractional-order model is studied. This epidemic phenomenon is analyzed using Caputo-Fabrizio and Fractal fractional derivative operator that includes an antiretroviral treatment compartment. The advanced approach is used for HIV/AIDS fractional order model to get reliable outcomes with the help of sumudu transform. The fractional-order HIV/AIDS model is analyzed qualitatively as well as verify unique solutions. Numerical simulations are performed to explain the effects of changing the fractional-order and to support the theoretical results using proposed methods for a range of fractional orders. Also, the comparison has been made with classical order derivative to check the effectiveness of the proposed method for HIV/ AIDS.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
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    Mixed convective thermal transport in a lid-driven square enclosure with square obstacle
    (Elsevier, 2023) Khan, Noor Zeb; Mahmood, Rashid; Bilal, Sardar; Akgul, Ali; Abdullaev, Sherzod; Mahmoud, Emad E.; Yahia, Ibrahim S.
    The prime motive of this disquisition is to scrutinize simultaneous aspects of external forcing mechanism and internal volumetric forces on non-Newtonian liquid filled in square enclo-sure. Inertially driven upper lid is assumed by providing constant magnitude of slip velocity whereas thermal equilibrium is disturbed by assuming uniform temperature at lower boundary and by keep-ing rest of walls as cold. To enhance thermal diffusion transport with in the flow domain cold as well as adiabatic temperature situation is provided. In view of velocity constraints all the extremities at no-slip except the upper wall which is moving with ULid. Formulation is attained in dimensional form initially and afterwards variables are used to convert constructed differential system into dimensionless representation. A numerical solution of leading formulation is sought through Galer-kin finite element discretization. Momentum and temperature equations are interpolated by quad-ratic polynomials whereas pressure distribution is approximated by linear interpolating function. Domain discretized version is evaluated in view of triangular and rectangular elements. Newton's scheme is employed to resolve the non-linearly discretized system and a matrix factorization based non-linear solver renowned as PARADISO is used. Validation of results is ascertained by forming agreement with existing studies. In addition, grid independence test is also performed to show credibility of performed computations. Stream lines and isothermal contours patterns are portrayed to evaluate variation in flow distributions. Kinetic energy and local heat flux for uniform and non-uniform heating situations are also divulged in graphical and tabular formats. Increase in Reynold number produces decrease in kinetic energy of fluid. Enhancement in Grashof number causes enrichment of thermal buoyancy forces due to which Nusselt number uplifts. Clock wise rotations increase against upsurge in magnitude of Reynold number which is evidenced form stream lines. Squeezing of secondary vortex against Prandtl number arises due to dominance of viscous forces.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
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    New waves solutions of a nonlinear Landau-Ginzburg-Higgs equation: The Sardar-subequation and energy balance approaches
    (Elsevier, 2023) Ahmad, Shafiq; Mahmoud, Emad E.; Saifullah, Sayed; Ullah, Aman; Ahmad, Shabir; Akgul, Ali; El Din, Sayed M.
    This article investigates the significance of the unsteady nonlinear Landau-Ginzburg-Higgs equation in the context of superfluids and Bose-Einstein condensates. The problem of interest is the search for new exact solutions within this equation. To tackle this problem, the Sardar-subequation and energy balance approaches are employed. Through these methods, a variety of new exact solutions are obtained, expressed in terms of cosine functions, generalized hyperbolic functions, and generalized trigonometric functions. The obtained solutions encompass different types of solitons, including bright and dark solitons, singular periodic soliton, and hybrid solitons. The solutions are then visualized through 2D and 3D simulations. The findings of this study contribute to the understanding of the Landau-Ginzburg-Higgs equation and its application to superfluids and Bose-Einstein condensates. The novelty of this work lies in the utilization of the Sardar-subequation and energy balance approaches to obtain diverse traveling wave solutions, surpassing previous efforts in the literature.
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    Topological localized region of Goos-Hanchen shifts in reflection and transmission
    (Elsevier, 2023) Khan, Aizaz; Mahmoud, Emad E.; Ahmad, Iftikhar; El Din, Sayed M.; Bacha, Bakht Amin; Akgul, Ali
    In this manuscript, the Goos-Hanchen shift of the transmitted and reflected probe beam is controlled and modified. Topologically localized regions are reported in the G-H shift by introducing the position and orbital angular momentum dependency in the Rabi frequencies of the control fields. The system parameters along with the azimuthal quantum number are used to control and modify G-H shift as well as the topological regions. Crater and peak type topological regions are reported in the G-H shift of the reflected as well as transmitted beam. The number of localized regions are reported to strictly follow the general formula 2l2. The maximum shift in the reflected spectrum is reported to be Sr/.1 = -140, where as in the transmitted spectrum it is only S1.1 = -15. The modified results might have significant applications in optical waveguide switches and sensors.