Finite element approximation for a modified anomalous subdiffusion equation

CORC > 厦门大学 > 数学科学－已发表论文

	Finite element approximation for a modified anomalous subdiffusion equation
	Liu, Q. ; Liu, F. ; Turner, I. ; Anh, V. ; Liu QX(刘青霞) ; Liu FW(刘发旺)
刊名	http://dx.doi.org/10.1016/j.apm.2011.02.036
	2011
关键词	Partial differential equations Stability
英文摘要	In this paper, we consider a modified anomalous subdiffusion equation (MASFE) for describing processes that become less anomalous as time progresses by the inclusion of a second fractional time derivative acting on the diffusion term. Firstly, a semi-discrete approximation for the MASFE is proposed. The stability and convergence of the semi-discrete approximation are discussed. Secondly, a finite element approximation for the MASFE is derived. The stability and convergence of the finite element approximation are investigated, respectively. Finally, some numerical examples are presented to demonstrate the effectiveness of theoretical analysis. ? 2011.
语种	英语
出版者	Elsevier Inc.
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91435]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Liu, Q.,Liu, F.,Turner, I.,et al. Finite element approximation for a modified anomalous subdiffusion equation[J]. http://dx.doi.org/10.1016/j.apm.2011.02.036,2011.
APA	Liu, Q.,Liu, F.,Turner, I.,Anh, V.,刘青霞,&刘发旺.(2011).Finite element approximation for a modified anomalous subdiffusion equation.http://dx.doi.org/10.1016/j.apm.2011.02.036.
MLA	Liu, Q.,et al."Finite element approximation for a modified anomalous subdiffusion equation".http://dx.doi.org/10.1016/j.apm.2011.02.036 (2011).