PM  >> Vol. 2 No. 1 (January 2012)

    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

  • 全文下载: PDF(204KB) HTML    PP.28-33   DOI: 10.12677/pm.2012.21006  
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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。

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. 一类非线性反应扩散方程的隐–显多步有限元方法[J]. 理论数学, 2012, 2(1): 28-33. http://dx.doi.org/10.12677/pm.2012.21006

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