Exact solutions of convective–diffusive <scp>Cahn–Hilliard</scp> equation using extended direct algebraic method
Hamood Ur Rehman, Naeem Ullah, Muhammad Imran Asjad, Ali Akgül
Abstract
Abstract In this paper, we apply the extended direct algebraic method to examine the soliton solutions as well as hyperbolic and trigonometric functions solutions of convective–diffusive Cahn–Hilliard equation describing the dynamic of separation phase for ternary iron alloys of (Fe ‐ Cr ‐ Mo) and (Fe ‐ X ‐ Cu). The outcomes reveal that our technique is very dynamic and straightforward. It is observed that the obtained exact solutions of this model are new in the literature. Moreover, various 2D and 3D graphs of the obtained solutions are presented to examine the physical understanding of the obtained results.
Topics & Concepts
Cahn–Hilliard equationMathematicsAlgebraic numberTernary operationTrigonometryTrigonometric functionsHyperbolic functionConvectionApplied mathematicsAlgebraic equationPhase (matter)Mathematical analysisPartial differential equationThermodynamicsChemistryPhysicsNonlinear systemComputer scienceGeometryOrganic chemistryProgramming languageQuantum mechanicsSolidification and crystal growth phenomenaFluid Dynamics and Thin FilmsFractional Differential Equations Solutions