Yazar "El-Zahar, Essam R." seçeneğine göre listele

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    Analysis of Fractional-Order Regularized Long-Wave Models via a Novel Transform
    (Hindawi Ltd, 2022) Shah, Nehad Ali; El-Zahar, Essam R.; Akgul, Ali; Khan, Adnan; Kafle, Jeevan
    A new integral transform method for regularized long-wave (RLW) models having fractional-order is presented in this study. Although analytical approaches are challenging to apply to such models, semianalytical or numerical techniques have received much attention in the literature. We propose a new technique combining integral transformation, the Elzaki transform (ET), and apply it to regularized long-wave equations in this study. The RLW equations describe ion-acoustic waves in plasma and shallow water waves in seas. The results obtained are extremely important and necessary for describing various physical phenomena. This work considers an up-to-date approach and fractional operators in this context to obtain satisfactory approximate solutions to the proposed problems. We first define the Elzaki transforms of the Caputo fractional derivative (CFD) and Atangana-Baleanu fractional derivative (ABFD) and implement them for solving RLW equations. We can readily obtain numerical results that provide us with improved approximations after only a few iterations. The derived solutions were found to be in close contact with the exact solutions. Furthermore, the suggested procedure has attained the best level of accuracy. In fact, when compared to other analytical techniques for solving nonlinear fractional partial differential equations, the present method might be considered one of the finest.
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    Computational analysis of microgravity and viscous dissipation impact on periodical heat transfer of MHD fluid along porous radiative surface with thermal slip effects
    (Elsevier, 2024) Alqahtani, Bader; El-Zahar, Essam R.; Riaz, Muhammad Bilal; Seddek, Laila F.; Ilyas, Asifa; Ullah, Zia; Akgul, Ali
    The current thermal slip and Magnetohydrodynamic analysis plays prominent importance in heat insulation materials, polishing of artificial heart valves, heat exchangers, magnetic resonance imaging and nanoburning processes. The main objective of the existing article is to deliberate the impact of thermal slip, thermal radiation and viscous dissipation on magnetized cone embedded in a porous medium under reduced gravitational pressure. Convective heating characteristics are used to increase the rate of heating throughout the porous cone. For viscous flow along a heated and magnetized cone, the conclusions are drawn. The simulated nonlinear partial differential equations are transformed into a dimensionless state by means of suitable non -dimensional variables. The technique of finite differences is implemented to solve the given model with Gaussian elimination approach. The FORTRAN language is used to make uniform algorithm for asymptotic results according to the boundary conditions. The influence of controlling parameters, such as thermal radiation parameter R d , Prandtl number P r , porosity parameter Omega , viscous dissipation parameter E c , delta thermal slip parameter, R g reduced gravity parameter and mixed convection parameter lambda is applied. Graphical representations were created to show the consequences of various parameters on velocity, temperature and magnetic field profiles along with fluctuating skin friction, fluctuating heat and oscillatory current density. It is found that velocity and temperature profile enhances as radiation parameter enhances. It is noted that the amplitude and oscillations in heat transfer and electromagnetic waves enhances as magnetic Prandtl factor increases.
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    NUMERICAL ANALYSIS OF FRACTIONAL-ORDER EMDEN-FOWLER EQUATIONS USING MODIFIED VARIATIONAL ITERATION METHOD
    (World Scientific Publ Co Pte Ltd, 2023) Zhang, Ri; Shah, Nehad Ali; El-Zahar, Essam R.; Akgul, Ali; Chung, Jae Dong
    This work aims at a new semi-analytical method called the variational iteration transform method for investigating fractional-order Emden-Fowler equations. The Shehu transformation and the iterative method are applied to achieve the solution of the given problems. The proposed method has the edge over other techniques as it does not required extra calculations. Some numerical problems are used to test the validity of the suggested method. The solution obtained has demonstrated that the proposed technique has a higher level of accuracy. The proposed method is capable of tackling various nonlinear fractional-order problems due to its simple implementation.
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    Significance of thermal density and viscous dissipation on heat and mass transfer of chemically reactive nanofluid flow along stretching sheet under magnetic field
    (Elsevier, 2023) Ullah, Zia; Abbas, Amir; El-Zahar, Essam R.; Seddek, Laila F.; Akgul, Ali; Hassan, Ahmed M.
    The main focus of the current research is to evaluate heat and mass transfer across stretchable sheet under applied magnetic field. The chemical reaction and variable density is essential for thermal behavior of nanofluid. The present study presents a careful inspection of chemical reaction, thermal density, viscous dissipation and thermophoresis on heat and mass transfer of magneto and chemically reactive nanofluid across the stretching sheet. The physical attitude of entropy and chemical reaction improvement rate in magneto nanofluid is the primary focus of the present research. By applying the proper transformation, nonlinear partial differential ex-pressions are introduced to the structure of the ordinary differential framework. The flow equations are simplified into nonlinear differential equations, and these equations are then computationally resolved via an efficient computational technique known as Keller box technique. The governing flow factors like Eckert number, reaction rate, density parameter, magnetic-force parameter, thermophoretic number, buoyancy number and Prandtl number on velocity, temperature distribution and concentration distribution are evaluated prominently. It is noticed that prominent enhancement in temperature of fluid is assessed for maximum Prandtl number. It is found that the reasonable change in concentration distribution is evaluated for each Prandtl number with en-tropy generation. It is examined that the dimensionless Nusselt coefficient is decreased for maximum Brownian motion. It is seen that the dimensionless mass transfer is increased for maximum Brownian motion in the presence of buoyancy and magnetic forces.