On the approximate solution to an initial boundary valued problem for the Cahn-Hilliard equation

DOI10.1016/j.cnsns.2009.03.030zbMath1221.35196OpenAlexW2019546629MaRDI QIDQ718101

Paulo Rebelo

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.03.030

zbMATH Keywords

pattern formationCahn-Hilliard equationFourier methodAdomian polynomialsinitial homogeneous boundary-value problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Theoretical approximation in context of PDEs (35A35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (2)

An approximate solution to an initial boundary value problem: Rakib–Sivashinsky equation ⋮ Pattern formation and geometry of the manifold

Cites Work

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• A new algorithm for matching boundary conditions in decomposition solutions
• Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
• On the Cahn-Hilliard equation
• Infinite-dimensional dynamical systems in mechanics and physics.
• Solution of the system of ordinary differential equations by Adomian decomposition method.
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• A numerical scheme for the solution of viscous Cahn–Hilliard equation
• New methods for applying the Adomian method to partial differential equations with boundary conditions

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