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

✍ Scribed by Paulo Rebelo

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
317 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

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.

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✍ Charles Bu 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 314 KB

This paper establishes existence and uniqueness of the weak solution to the Ginzburg-Landau equation posed in a finite domain Q = [0, L] for t 2 0, with certain initial-boundary data.