标题:
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
关键字:
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
期刊名称:
《Pure Mathematics》, Vol.2 No.1, 2012-01-16
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.