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反常次扩散问题的有限元逼近

Finite Element Approximation for the Anomalous Sub-diffusion Process
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摘要 讨论一类反常次扩散问题,进行了有限元数值模拟,分别给出了其时间半离散、时间空间全离散形式,并且讨论了两种形式的稳定性、收敛性.最后给出数值例子显示所提出的数值方法的有效性. Recently fractional diffusion equations are widely used to describe anomalous diffusion processes,then the research for dif- fusion processes plays an important role in many fields such as engineering, physics,etc.In this paper,we consider a sub-diffusion e- quation by finite element method.The semi-discrete approximation and full discrete approximation are proposed.And the stability and convergence are discussed.Finally some numerical examples are presented to demonstrate the effectiveness of theoretical analysis.
作者 吴春红 刘青霞
机构地区 厦门理工学院应用数学学院 厦门大学数学科学学院
出处 《厦门大学学报（自然科学版）》 CAS CSCD 北大核心 2014年第2期165-170,共6页 Journal of Xiamen University：Natural Science
基金 国家自然科学基金(11101344 11301194) 福建省自然科学基金(2013J01021)
关键词 反常次扩散问题 有限元方法 稳定性 收敛性 anomalous sub-diffusion process finite element method stability convergence
分类号 O241.8 [理学—计算数学]
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参考文献8

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二级参考文献26

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厦门大学学报（自然科学版）
2014年 第2期

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