A numerical method based on the boundary integral equation and dual reciprocity methods for one-dimensional Cahn-Hilliard equation

被引：33
|
作者：
Dehghan, Mehdi [1 ]
Mirzaei, Davoud [1 ]
机构：
[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2009年 / 33卷 / 04期
关键词：
Boundary integral equation; Dual reciprocity method; Cahn-Hilliard equation; Mass conservation; Energy dissipation; NONLINEAR DIFFERENCE SCHEME; FINITE-ELEMENT-METHOD; COLLOCATION METHOD; SUBJECT; INTERDIFFUSION; ENERGY; APPROXIMATION; CONSERVATION; INTERFACES; BEM;
D O I：
10.1016/j.enganabound.2008.08.008
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：522 / 528
页数：7
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