Fully Discrete Nonlinear Galerkin Methods for Kuramoto-Sivashinsky Equation and Their Error Estimates

被引:5
作者
杨忠华
叶瑞松
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关键词
Kuramoto-Sivashinsky equation; fully discrete nonlinear Galerkin method; uniform error estimates;
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摘要
In this paper,the uniform error estimates with respect to t∈[0, ∞ ) of the nonlinear Galerkin method are given for the long time integration of the Kuramoto-Sivashinsky equation. The nonlinear Galerkin method is used to study the asymptotic behaviour of Kuramoto-Sivashinsky equation and to construct the bifurcation diagrams.
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页码:20 / 27
页数:8
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