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On the approximate solution to an initial boundary valued problem for the Cahn–Hilliard equation
Authors:Paulo Rebelo  
Institution:aDepartamento de Matemática, Universidade da Beira Interior, 6201-001 Covilhã, Portugal
Abstract:The particular approximate solution of the initial boundary valued problem to the Cahn–Hilliard equation is provided. The Fourier Method is combined with the Adomian’s decomposition method in order to provide an approximate solution that satisfy the initial and the boundary conditions. The approximate solution also satisfies the mass conservation principle.
Keywords:Adomian polynomials  Fourier Method  Cahn–  Hilliard equation  Pattern formation  Initial homogeneous boundary valued problem
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