Lu, D.Baleanu, DumitruOsman, M. S.Khater, M. M. A.Attia, R. A. M.Baleanu, D.2020-05-142020-05-142020Lu, 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. 537.0378-43711873-2119https://doi.org/10.1016/j.physa.2019.122634M. A. Khater, Mostafa/0000-0001-8466-168X; Osman, M. S./0000-0002-5783-0940; Lu, Dianchen/0000-0001-6896-172XIn 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. (C) 2019 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessConvective-Diffusive Cahn-Hilliard EquationModified Auxiliary Equation MethodCubic B-Spline SchemeSolitary Wave SolutionsArticle53710.1016/j.physa.2019.1226342-s2.0-85072580348WOS:000501641200030N/AQ1