Search Results - "Zahra, W. K."

A smooth approximation based on exponential spline solutions for nonlinear fourth order two point boundary value problems by Zahra, W.K.

“…Methods of order two, four and six based on Exponential spline functions consisting of a polynomial part of degree three and an exponential part is developed…”
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Enhancing the Air Conditioning Unit Performance via Energy Storage of Different Inorganic Phase Change Materials with Hybrid Nanoparticles by Ismail, M., Zahra, W. K., Ookawara, Shinichi, Hassan, Hamdy

“…Air conditioning unit performance, coupled with new configurations of phase change material as thermal energy storage, is investigated in hot climates. During…”
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The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations by Zahra, W. K., Elkholy, S. M.

“…Fractional calculus became a vital tool in describing many phenomena appeared in physics, chemistry as well as engineering fields. Analytical solution of many…”
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Exponential spline solutions for a class of two point boundary value problems over a semi-infinite range by Zahra, W. K.

“…In this paper, we developed numerical methods of order O ( h 2 ) and O ( h 4 ) based on exponential spline function for the numerical solution of class of two…”
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Fractional non-Fourier modeling of laser drilling process by Hassan, Ayman F, Abidou, Diaa, Elsaid, A, Zahra, W K

“…In this paper, a novel fractional non-Fourier model is employed to simulate the laser drilling process, addressing limitations inherent in classical heat…”
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Non-differentiable kernel-based approximation of memory-dependent derivative for drug delivery applications by Khalaf, M, Elsaid, A, Hammad, S F, Zahra, W K

“…Although memory-dependent derivative (MDD) has recently been the subject of extensive study, only one numerical approximation has been reported in the…”
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Trigonometric B-Spline Collocation Method for Solving PHI-Four and Allen–Cahn Equations by Zahra, W. K.

“…In this paper, we develop a numerical solution based on nonpolynomial B-spline (trigonometric B-spline) collocation method for solving time-dependent equations…”
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Fractional modeling of drug diffusion from cylindrical tablets based on Fickian and relaxed approaches with in vivo validation by Khalaf, M., Elsaid, A., Hammad, S. F., Zahra, W. K.

“…Mathematical simulation of drug diffusion is a significant tool for predicting the bio‐transport process. Moreover, the reported models in the literature are…”
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Optimal decision making in multi-channel RF-powered cognitive radio networks with ambient backscatter capability by Zakariya, Ahmed Y., Rabia, Sherif I., Zahra, W.K.

“…In RF-powered backscatter cognitive radio networks, the secondary user transmits his data either by harvesting energy then actively transmitting the data or by…”
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Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy by Hikal, M. M., Elsheikh, M. M. A., Zahra, W. K.

“…This study presents methods of hygiene and the use of masks to control the disease. The zero basic reproduction number can be achieved by taking the necessary…”
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Study of the impact of using hybrid nanofluid and saline water preheating on the performance of both integrated solar still and photovoltaic panel using fractional modeling by El-Gazar, E. F., Hassan, Hamdy, Rabia, Sherif I., Zahra, W. K.

“…A novel non-local model for studying the performance of solar still system integrated with a photovoltaic panel (PV) using hybrid nanofluid and preheating…”
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SEIRS epidemic model with Caputo–Fabrizio fractional derivative and time delay: dynamical analysis and simulation by Hikal, M. M., Atteya, T. E. M., Hemeda, Hamed M., Zahra, W. K.

“…SEIRS epidemic model with Caputo–Fabrizio fractional derivative, a general incidence rate, and the time delay is considered. The main target of this work is to…”
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Non standard finite difference method for solving variable order fractional optimal control problems by Zahra, WK, Hikal, MM

“…A modified numerical technique was developed to solve a wide class of variable order fractional optimal control problems in the sense of Riemann Liouville or…”
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Exponentially fitted methods for solving two-dimensional time fractional damped Klein–Gordon equation with nonlinear source term by Zahra, W.K., Nasr, M.A.

“…•A novel numerical study based on exponential fitting techniques for the solution of two-dimensional damped Klein–Gordon equation with time fractional and…”
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Discrete Spline Solution of Singularly Perturbed Problem with Two Small Parameters on a Shishkin-Type Mesh by Zahra, W. K., Van Daele, M.

“…We consider singularly perturbed problems of convection-diffusion-reaction type which involve two small parameters. A new discrete cubic spline method is…”
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Finite-difference technique based on exponential splines for the solution of obstacle problems by Zahra, W. K.

“…In this paper, we introduce a new technique based on cubic exponential spline functions for computing approximations to the solution of a system of…”
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Correction to: Discrete Spline Solution of Singularly Perturbed Problem with Two Small Parameters on a Shishkin-Type Mesh by Zahra, W. K., Van Daele, M.

“…The affiliation of the first author W. K. Zahra is Department Engineering Physics and Mathematics, Faculty of Engineering, Tanta University., Tanta, 31521,…”
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Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems by Ramadan, M.A., Lashien, I.F., Zahra, W.K.

“…In this paper, quadratic and cubic polynomial and nonpolynomial spline functions based methods are presented to find approximate solutions to second order…”
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Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem by Ramadan, M.A., Lashien, I.F., Zahra, W.K.

“…In this paper, we develop quintic nonpolynomial spline methods for the numerical solution of fourth order two-point boundary value problems. Using this spline…”
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High order accuracy nonpolynomial spline solutions for 2 μth order two point boundary value problems by Ramadan, M.A., Lashien, I.F., Zahra, W.K.

“…Sixth order accurate method based on quintic nonpolynomial spline function for the numerical solution of 2 μth order two point BVPs (where μ is a positive…”
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