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
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. 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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