Browsing by Author "Attia, Raghda A. M."

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Citation Count: Khater, M.M.A.; Attia, R.A.M.; Baleanu, D., "Abundant New Solutions of the Transmission of Nerve İmpulses of An Excitable System", European Physical Journal Plus, Vol. 135, No. 2, (2020).
Abundant New Solutions of the Transmission of Nerve Impulses of An Excitable System
(Springer, 2020) Khater, Mostafa M. A.; Attia, Raghda A. M.; Baleanu, Dumitru; 56389
This research investigates the dynamical behavior of the transmission of nerve impulses of a nervous system (the neuron) by studying the computational solutions of the FitzHugh–Nagumo equation that is used as a model of the transmission of nerve impulses. For achieving our goal, we employ two recent computational schemes (the extended simplest equation method and Sinh–Cosh expansion method) to evaluate some novel computational solutions of these models. Moreover, we study the stability property of the obtained solutions to show the applicability of them in life. For more explanation of this transmission, some sketches are given for the analytical obtained solutions. A comparison between our results and that obtained in previous work is also represented and discussed in detail to show the novelty for our solutions. The performance of the two used methods shows power, practical and their ability to apply to other nonlinear partial differential equations.
Citation Count: Lu, D...et al. (2020). "Analytical and Numerical Simulations for the Kinetics of Phase Separation in Iron (Fe–Cr–X (X=Mo,Cu)) Based On Ternary Alloys",Physica A: Statistical Mechanics and Its Applications, Vol. 537.
Analytical and Numerical Simulations for the Kinetics of Phase Separation in Iron (Fe–Cr–X (X=Mo,Cu)) Based On Ternary Alloys
(Elsevier B.V., 2020) Lu, D.; Osman, M. S.; Khater, M. M. A.; Attia, Raghda A. M.; Baleanu, Dumitru; 56389
In this paper, we investigate the physical behavior of the basic elements that related to phase decomposition in ternary alloys of (Fe–Cr–Mo) and (Fe–Cr–Cu) according to analytical and approximate simulation. We study the dynamic of the separation phase for the ternary alloys of iron. The dynamical process of this separation has been described in a mathematical model called the Cahn–Hilliard equation. The minor element behavior in the process has been described by the Cahn–Hilliard equation. It describes the process of phase separation for two components of a binary fluid in ternary alloys of (Fe–Cr–Mo) and (Fe–Cr–Cu). We implement a modified auxiliary equation method and the cubic B-spline scheme on this mathematical model to show the dynamical process of phase separation and the concentration of one of two components in a system. We try obtaining the solitary and approximate solutions of this model to show the relation between the components in this phase. We discuss our solutions in view of a Stefan, Thomas-Windle, and Navier–Stokes models. Whereas, these models describe the motion of viscous fluid substance.