مقالههای Ahmed Salah
توجه: محتویات این صفحه به صورت خودکار پردازش شده و مقالههای نویسندگانی با تشابه اسمی، همگی در بخش یکسان نمایش داده میشوند.
۱A General Algorithm for Solving the Fractional Reaction Diffusion Model Arising in Bacterial Colony by Homotopy Analysis Transform Method
اطلاعات انتشار: World Applied Sciences Journal، بيست و يكم،شماره۵، ۲۰۱۳، سال ۰
تعداد صفحات: ۶
In this paper, we study the approximation of analytical solution for Fractional Reaction Diffusion model which describes the evaluation of bacterium Bacillus, which grows on the surface of thin agar plates, by using homotopy analysis transform method. The fractional derivatives are described by caputo sense. A comparative study between the homotopy analysis transform method and the classical Adomain’s Decomposition Method is conducted. Results show that the homotopy analysis transform method is accurate when applied to a fractional reaction diffusion model. Numerical results with Tables and Figures are given.
۲The Analytical Algorithm for the Differential Transform Method to Solution of the Reactor Point–kinetics Equations
اطلاعات انتشار: World Applied Sciences Journal، بيست و هفتم،شماره۳، ۲۰۱۳، سال ۰
تعداد صفحات: ۴
In this article, the reduced form of differential transform method (called reduced DT Method ), is employed to approximate the solutions of the reactor point–kinetics equations. Exact solutions can also be achieved by the known forms of the series solutions. In this paper, we present the definition and operation of the one–dimensional differential transform and investigate the particular analytical solutions of system of ordinary differential equations that usually arise in mathematical reactor point–kinetics modeling by a onedimensional differential transform method. The numerical results of the present method are presented and compared with numerical solution.
۳Approximation Analytical Solution for a Three Level 7–Type Atom Interacting with a Single Mode Cavity Field by Modified Homotopy Analysis Method
اطلاعات انتشار: World Applied Sciences Journal، سي و دوم،شماره۸، ۲۰۱۴، سال ۰
تعداد صفحات: ۷
In this paper, we consider a three level atom interacting with a single mode of the quantized electromagnetic cavity field. The considered theoretical model describes the configuration of a three level atom. Also, the model includes a detuning and arbitrary form of both the field and intensity–dependent atomfield coupling. We obtain the approximation solution for a wave function, when the atom is initially prepared in excited state and the field is considered in a coherent state, by using the modified homotopy analysis method (MHAM). The MHAM can be obtained from homotopy analysis method (HAM) applied to Laplace, inverse Laplace transform and Pade approximant. We use the model for studying the time evolution of the second–order correlation function. We notice that the MHAM is proved to be very effective, simple and convenient to give approximate analytical solutions.
نویسنده(ها): Ahmed Salah
اطلاعات انتشار: World Applied Sciences Journal، سي و چهارم،شماره۱، ۲۰۱۶، سال ۰
تعداد صفحات: ۸
In this paper, we are interested in studying entropy and dynamics entanglement between a single time dependent three–level atoms interacting with one–mode cavity field when the atomic motion is taken into account. An exact analytical solution for the wave function is given by using Schrödinger equation for a specific initial condition. The field entropy of this system is investigated in the non–resonant case. The influences of the detuning parameters and atomic motion on the entanglement degree are examined. We show that both of the detuning parameters and atomic motion play important roles in the evolution of von Neumann entropy and atomic populations. Finally, conclusion and some features are given.
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