Article ID Journal Published Year Pages File Type
513206 Engineering Analysis with Boundary Elements 2009 7 Pages PDF
Abstract

This paper describes a numerical method based on the boundary integral equation and dual reciprocity methods for solving the one-dimensional Cahn–Hilliard (C–H) equation. The idea behind this approach comes from the dual reciprocity boundary element method that introduced for higher order dimensional problems. A time-stepping method and a predictor–corrector scheme are employed to deal with the time derivative and the nonlinearity respectively. Numerical results are presented for some examples to demonstrate the usefulness and accuracy of this approach. For these problems the energy functional dissipation and the mass conservation properties are investigated.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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