Efficient spectral-Galerkin methods for systems of coupled second-order equations and their applications

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• 作者：Feng Chen ^{chen221@math.purdue.edu} ; Jie Shen ; ^{shen@math.purdue.edu}
• 关键词：Spectral-Galerkin method ; System of coupled second-order equations ; Cahn&ndash ; Hilliard equations ; High-order equations
• 刊名：Journal of Computational Physics
• 出版年：2012
• 期刊代码：136_00219991
• 类别：cp
• 出版时间：1 June, 2012
• 卷：231
• 期：15
• 页码：5016-5028
• 文件大小：420 K

摘要

We construct in this paper two efficient spectral-Galerkin algorithms for solving systems of n coupled second-order equations. The computational complexity of these algorithms is essentially n times the cost of solving one second-order equation. We present numerical results which illustrate the accuracy and flexibility of these algorithms, as well as several interesting and challenging applications, including in particular a number of high-order nonlinear parabolic type equations.