一类非线性反应扩散方程的隐–显多步有限元方法
Implicit-Explicit Multistep Finite Element Methods for Some Nonlinear Reaction-Diffusion Equations

作者: 顾海明 , 郭蒙蒙 :;

关键词: 非线性反应扩散方程隐–显多步有限元方法最优估计Nonlinear Reaction-Diffusion Equations Implicit-Explicit Multistep Finite Element Methods Optimal Order Error Estimates

摘要: 隐–显多步有限元方法是近年来提出的一种方法,主要用于非线性抛物问题。我们对一类非线性反应扩散方程的初边值问题进行近似,给出了隐–显多步有限元方法的逼近格式,并证明了该格式的最优阶误差估计。

Abstract: Implicit-explicit multistep methods were recently proposed, and mainly used to nonlinearparabolicequa- tions. We approximate the solution of initial boundary value problems for some nonlinear reaction-diffusion Equations, and discretize by Implicit-Explicit Multistep finite element methods. The optimal order error esti- mates is derived in this paper.

文章引用: 顾海明 , 郭蒙蒙 (2012) 一类非线性反应扩散方程的隐–显多步有限元方法。 理论数学, 2, 28-33. doi: 10.12677/pm.2012.21006

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